# Francisco Marcellán Español

## Refereed Journal Publications

**2019**

- "Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients" (with A. Branquinho, J. C. García-Ardila. Journal of Applicable Analysis and Discrete Mathematics. In press.
- "Christoffel transformation for a matrix of bi-variate measures" (with J. C. García-Ardila, M. Mañas). Complex Analysis and Operator Theory. In press.
- "Lupas-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces" (with J. M. Rodríguez). Bulletin of Mathematical Sciences. In press.
- "On symmetric (1,1) coherent pairs and Sobolev orthogonal polynomials: an algorithm to compute Fourier coefficients" (with H. Dueñas Ruiz, A. Molano Molano). Revista Colombiana de Matemáticas. In press.
- "Coherent pairs of bivariate orthogonal polynomials" (with M. E. Marriaga, T. E. Pérez, M. A. Piñar). Journal of Approximation Theory, 245 (2019) 40-65.
- "Szegő transformations and zeros of analytic perturbations of Chebyshev weights" (with E. Berriochoa, A. Cachafeiro). Journal of Mathematical Analysis and Appplications, 470 (2019) 571-583.
- "On Freud-Sobolev type orthogonal polynomials" (with L. E. Garza, E. J. Huertas). Afrika Matematika, 30 (2019) 505-528.
- "A classification of symmetric (1,1)-coherent pairs of linear functionals" (with H. Dueñas Ruiz, A. Molano Molano). Mathematics 7 (2), (2019) Article number 213, 33 pp.
- "An inverse problem associated with (1,1)-symmetric coherent linear functionals" (with H. Dueñas Ruiz, A. Molano Molano) . Integral Transforms and Special functions. 30 (2019) 526-546.
- "Some new identities involving Sheffer-Appell polynomial sequences via matrix approach" (with M. Shadab, S. Jabee). Mediterranean Journal of Mathematics 16 (2019) no 5. Article number 116 (20 pages).
- "Matrix biorthogonal polynomials on the real line: Geronimus transformations" (with G. Ariznabarreta, J, C. García Ardila, M. Mañas). Bulletin of Mathematical Sciences 9 (2019) no. 2 1950007 (68 pages).
- "Linear combinations of d-orthogonal polynomials" (with A. Saib). Bulletin of the Malaysian Mathematical Sciences Society 42 (2019) 2009-2038.

**2018**

- "Orthogonality of quasi-orthogonal polynomials" (with with C. F. Bracciali and S. Varma). Filomat 32:20 (2018), 6953-6977.
- "On bivariate classical orthogonal polynomials" (with M. E. Marriaga, T. E. Pérez, M. A. Piñar). Applied Mathematics and Computation, 325 (2018) 340-357.
- "Matrix Pearson equations satisfied by Koornwinder weights in two variables", (with M. Marriaga, T. E. Pérez, M. Piñar). Acta Applicandae Mathematicae, 153 (2018) 81-100.
- "A canonical Geronimus transformation for matrix orthogonal polynomials" (with J. C. García-Ardila, L. E. Garza). Linear and Multilinear Algebra, 66 (2018) 357-381.
- "Linear combinations of 2-orthogonal polynomials: generation and decomposition problems" (with A. Nasri and B. Boukhemis). Communications in Applied Analysis, 22 (1) (2018) 97-119.
- "Weighted Sobolev spaces: Markov-type inequalities and duality" (with Y. Quintana, J. M. Rodríguez). Bulletin of Mathematical Sciences, 8 (2018) 233-256.
- "Non-abelian integrable hierarchies:matrix biorthogonal polynomials and perturbations"(with G. Ariznabarreta, J. C. García Ardila and M. Mañas). Journal of Physics A: Mathematics and General, 51 (2018) 205204 (46 pp).
- "Algunas propiedades extremales de las raíces de polinomios ortogonales" (with C. Beltrán, A. Martínez-Finkelshtein). La Gaceta de la Real Sociedad Matemática Española, 21 (2018) no 2. 345-366.
- "Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs" (with H. Dueñas Ruiz, A. Molano Molano). Journal of Mathematical Analysis and Applications, 467 (2018) 601-621.

**2017**

- "What is a... Sobolev orthogonal polynomial", (with J. J. Moreno-Balcázar). Notices American Mathematical Society, 64 (8) (2017), 873-875.
- "Asymptotics for varying discrete Sobolev orthogonal polynomials", (with J. F. Mañas-Mañas, J. J. Moreno-Balcázar). Applied Mathematics and Computation, 314 (2017), 65-79.
- "Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind" (with A. Sri Ranga). Results in Mathematics, 71 (3-4) (2017), 1127-1149.
- "Quadratures and integral transforms arising from generating functions" ,(with R. G. Campos). Applied Mathematics and Computation, 297 (2017) 8-18.
- "On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation", (with K. Castillo, J. Rivero). Applied Mathematics and Computation, 302 (2017) 97-110.
- "Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy" ,(with C. Alvarez Fernández, G. Ariznabarreta, J. C. García Ardila, M. Mañas). International Mathematics Research Notices, 5 (2017) 1285-1341.

**2016**

- "Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations. The degenerate case", (with H. O. Yakhlef). Mediterranean Journal of Mathematics, 13 (2016) 3135-3153.
- "An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line", (with J.C. García-Ardila, L. E. Garza). Mediterranean Journal of Mathematics, 13 (2016) 5009-5032.
- "Darboux transformations for CMV matrices", (with M. J. Cantero, L. Moral, and L. Velázquez). Advances in Mathematics 298 (2016), 122–206.
- "On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight", (with A. Arceo, E. J. Huertas). Applied Mathematics and Computation, 281 (2016), 102–120.
- "Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective", (with L. E. Garza). Expositiones Mathematicae, 34 (2016), 287–326.
- "Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials", (with J. F. Mañas-Mañas, J. J. Moreno-Balcázar). Journal of Computational and Applied Mathematics 300 (2016), 341–353.
- "Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle", (with K. Castillo and M. N. Rebocho). Numerical Algorithms, 71 (2016), 699–714.

**2015**

- "A matrix characterization for the D
_{v}-semiclassical and D_{v}-coherent orthogonal polynomials", (with L. G. Garza, L. E. Garza, N. C. Pinzón-Cortés). Linear Algebra and its Applications, 487 (2015) 242–259. - "OPUC, CMV Matrices and Perturbations of Measures Supported on the Unit Circle", (with N. Shayanfar). Linear Algebra and its Applications, 485 (2015) 305-344.
- "On co-polynomials on the real line", (with K. Castillo, J. Rivero). Journal of Mathematical Analysis and Applications, 427 (2015) 469-483.
- "A matrix approach for the semiclassical and coherent orthogonal polynomials", (with Lino. G. Garza, Luis E. Garza, N. C. Pinzón-Cortés). Applied Mathematics and Computation, 256 (2015), 459–471.
- "Sobolev orthogonal polynomials on product domains", (with L. Fernández, T. E. Pérez, M. Piñar, Yuan Xu). Journal of Computational and Applied Mathematics, 284 (2015) 202-215.
- "On Sobolev orthogonal polynomials", (with Y. Xu). Expositiones Mathematicae, 33 (2015) 308-352.
- "Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications", (with M. F. Pérez Valero, Y. Quintana). Journal Mathematical Analysis and Applications, 421 (2015) 314-328.
- "On Alpert multiwavelets", (with J. S. Geronimo). Proceedings American Mathematical Society, 143 ( 2015) 2479-2494.

**2014**

- "A Cohen type inequality for Laguerre-Sobolev expansions with a mass point outside their oscillatory regime", (with E. J. Huertas, M. F. Pérez-Valero, Y. Quintana). Turkish Journal of Mathematics, 38 (6) (2014), 994-1006.
- "Generalized coherent pairs on the unit circle and Sobolev orthogonal polynomials", (with N. Pinzón) Publications de l'Institut Mathematique, 96 (110) (2014) 193-210.
- "A note on the Geronimus transformation and Sobolev orthogonal polynomials", (with M. Derevyagin). Numerical Algorithms, 67 (2014) 271-287.
- "Sieved para-orthogonal polynomials on the unit circle", (with A. Sri Ranga). Applied Mathematics and Computation, 244 (2014) 335-343.
- "Multiple Geronimus transformation", (with M. Derevyagin, J. C. García- Ardila) . Linear Algebra and Applications, 454 (2014) 158-183.
- "Discrete semiclassical orthogonal polynomials of class one", (with D. Dominici). Pacific Journal of Mathematics, 268 (2014) 389-411.
- "Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime", (with E. J. Huertas, M. F. Pérez Valero and Y. Quintana). Applied Mathematics and Computation, 236 (2014) 260-272.
- "On an inverse problem for a linear combination of orthogonal polynomials", (with S. Varma). Journal of Difference Equations and Applications, 20 (2014) 570-585.
- "The structure of iterative methods for symmetric linear discrete ill-posed problems", (with L. Dykes, L. Reichel). BIT 54 (2014) 129-145.
- "Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product", (with M. F. Pérez-Valero, Y. Quintana, A. Urieles). Bulletin of Mathematical Sciences, 4 (2014) 83-97.
- "An electrostatic model for zeros of perturbed Laguerre polynomials", (with E. Huertas and H. Pijeira). Proceedings of American Mathematical Society, 142 (2014) 1733-1747.
- "A Finite class of orthogonal functions generated by Routh-Romanovski polynomials", (with E. Huertas and M.Masjed-Jamei). Complex Variables and Elliptic Equations 59 (2014) 162-171.
- "(M,N)-Coherent pairs of linear functionals and Jacobi matrices", (with N. Pinzón). Applied Mathematics and Computation, 232 (2014) 76-83.
- "(M,N)-coherent pairs of order (m,k) and Sobolev orthogonal polynomials", (with M. N de Jesus, J. C. Petronilho, and N. Pinzón). Journal of Computational and Applied Mathematics, 256 (2014) 16-35.

**2013**

- "(1,1)-Coherent Pairs on the Unit Circle", (with L. Garza and N. Pinzón). Abstract and Applied Analysis. Vol 2013 Article ID 307974, 8 Pages.
- "(1,1)-Dw-coherent pairs", (with N. Pinzón). Journal of Difference Equations and Applications 19 (2013) 1828-1848.
- "Bases of the space of solutions of some fourth-order linear difference equations", (with A. Mendes and H. Pijeira). Applications in rational approximation". Journal of Difference Equations and Applications, 19 (2013) 1632-1644.
- "Varying discrete Laguerre-Sobolev orthogonal polynomials: asymptotic behavior and zeros", (with J. F. Mañas and J. J. Moreno-Balcázar). Applied Mathematics and Computation, 222 (2013) 612-618.
- "On the Pollard decomposition method applied to some Jacobi-Sobolev expansion", (with Y. Quintana and A. Urieles). Turkish Journal of Mathematics 37 (2013) 934-948.
- "Strong and ratio asymptotics for Laguerre polynomials revisited", (with A. Deaño and E. Huertas). Journal of Mathematical Analysis and Applications 403 (2013) 477-486.
- "Generators of rational Spectral Transformations for non-trivial C-functions", (with K. Castillo). Mathematics of Computation 82 (282) (2013) 1057-1068.
- "Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality", (with B. Xh. Fejzullahu and J. J. Moreno-Balcázar). Journal of Approximation Theory 170 (2013) 78-93.
- "On computational aspects of discrete Sobolev inner products on the unit circle", (with K. Castillo and L. G. Garza). Applied Mathematics and Computation 223 (2013) 452-460.
- "Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator", (with B. Alaoui and R. Sfaxi). Integral Transforms and Special Functions 24 (2013) 636-648.
- "A Cohen type inequality for Gegenbauer-Sobolev expansions" (with B. Xh. Fejzullahu). Rocky Mountain Journal of Mathematics 43 (2013) 135-148.
- "Asymptotic behavior and zeros of Sobolev orthogonal polynomials on the unit circle" (with K. Castillo and L. E. Garza). Integral Transforms and Special Functions, 24 (2013) 23-38.
- "On W
^{1,p}-convergence of Fourier Sobolev expansions" (with Y. Quintana and A. Urieles). Journal of Mathematical Analysis and Applications, 398 (2013), 594-599. - "Semiclassical linear functionals of class three. The symmetric case" (with M. Sghaier and M. Zaatra). Journal of Difference Equations and Applications, Journal of Difference Equations and Applications 19 (2013) 162-178.
- "Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials" (with D. Gómez-Ullate and R. Milson), Journal of Mathematical Analysis and Applications 399 (2013) 480-495.

**2012**

- "Quadratic decomposition of a family of Hq-semiclassical orthogonal polynomial sequences" (with B. Bouras). Journal of Difference Equations and Applications, 18 (2012) 2039-2057.
- "The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials" (with R. Costas). Proceedings American Mathematical Society, 140 (2012), 3485-3493.
- "Higher order coherent pairs" (with N. Pinzon). Acta Applicanda Mathematicae. 121 (2012) 105-135.
- "Zeros of Sobolev orthogonal polynomials on the unit circle" (with K. Castillo and L. Garza). Numerical Algorithms 60 (2012) 669-681.
- "Relative asymptotics for orthogonal matrix polynomials" (with A. Branquinho and A. Mendes). Linear Algebra and Applications 437 (2012) 1458-1481.
- "On orthogonal polynomials with respect to certain discrete Sobolev inner product" (with R. Xh. Zejnullahu, B. Xh. Fejzullahu and E. Huertas). Pacific Journal of Mathematics 257 (2012) 167-188.
- "(1,1) q-coherent pairs" (with N. Pinzon). Numerical Algorithms 60 (2012) 223-239.
- "On semiclassical linear functionals of class s=2. Classification and integral representations" (with M. Sghaier and M. Zaatra). Journal of Difference Equations and Applications, 18 (2012) 973-1000.
- "Zeros of orthogonal polynomials generated by canonical perturbations of measures" (with E. Huertas and F. R. Rafaeli). Applied Mathematics and Computation 218 (2012) 7109-7127.
- "Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials" (with H. Dueñas and E. Huertas). Numerical Algorithms 60 (2012) 51-73.
- "A non-symmetric second degree semi-classical form of class one" (with A. Alaya and B. Bouras). Integral Transforms and Special Functions, 23 (2012) 149-159.
- "Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation" (with W. Chammam and R. Sfaxi). Linear Algebra and Applications 436 (2012) 2105-2116.

**2011**

- "Quadratic decomposition of a Laguerre-Hahn polynomial sequence II" (with B. Bouras). Mediterranean Journal of Mathematics, 9 (2011) 23-49.
- "A new linear spectral transformation associated with derivatives of Dirac linear functionals" (with K. Castillo and L. Garza). Journal of Approximation Theory 163 (2011) 1834-1853.
- "Lowering operators associated with D-Laguerre-Hahn polynomials" (with R. Sfaxi). Integral Transforms and Special Functions, 22 (2011) 879-893.
- "Monotonicity and asymptotics of zeros of Laguerre-Sobolev type orthogonal polynomials of higher derivatives" (with F. R. Rafaeli). Proceedings American Mathematical Society, 139 (2011) 3929-3936. MR#2012d: 42059.
- "Jacobi-Sobolev orthogonal polynomials: Asymptotcs for N-coherence measures" (with B. Xh. Fejzullahu). Journal of Inequalities and Applications Volume 2011. Article ID 294134. 19 pages.
- "Density of polynomials in some L
^{2}spaces on radial rays in the complex plane" (with S. M. Zagorodnyuk). Linear Algebra and its Applications 435 (2011) 128-146. - "The holonomic equation of the Laguerre-Sobolev type orthogonal polynomials: A nondiagonal case." (with H. Dueñas) Journal of Difference Equations and Applications, 17 (2011) 877-887. MR#2012f: 42046.
- "The Laguerre-Sobolev-Type Orthogonal Polynomials. Holonomic equation and Electrostatic interpretation" (with H. Dueñas). Rocky Mountain Journal of Mathematics, 41 (2011) 95-131.
- "Perturbations on the subdiagonals of Toeplitz matrices" (with K. Castillo and L. Garza). Linear Algebra and its Applications 434 (2011) 1563-1579.
- "Orthogonal polynomials associated with an inverse quadratic spectral transform" (with M. Alfaro, A. Peña, and M. L. Rezola). Computers and Mathematics with Applications 61 (2011) 888-900.
- "Analytic properties of Laguerre-type orthogonal polynomials" (with H. Dueñas, E. Huertas), Integral Transforms and Special Functions, 22 (2011) 107-122.
- "Jacobi-Sobolev orthogonal polynomials:Asymptotcs for N-coherence measures" (with B. Xh. Fejzullahu). Journal of Inequalities and Applications Volume 2011. Article ID 294134. 19 pages.
- "The holonomic equation of the Laguerre-Sobolev type orthogonal polynomials: A nondiagonal case." (with H. Dueñas) Journal of Difference Equations and Applications. 17 (2011) 877-887.

**2010**

- "Vector interpretation of the matrix orthogonality on the real line" (with A. Branquinho, A. I. Mendes). Acta Applicandae Mathematicae, 112 (2010) 357-383.
- "A note on monotonicity of zeros of generalized Hermite- Sobolev type orthogonal polynomials" (with F. R. Rafaeli). Integral Transforms and Special Functions, 21 (2010) 831-838.
- "Asymptotic behaviour of Laguerre-Sobolev Type Orthogonal Polynomials. A nondiagonal case" (with H. Dueñas). Journal of Computational and Applied Mathematics, 235 (2010), 998-1007.
- "The Laguerre-Sobolev Type Orthogonal Polynomials" (with H. Dueñas). Journal of Approximation Theory 162 (2010), 421-440.
- "q-classical orthogonal polynomials. A general difference calculus approach" (with R. Costas). Acta Applicanda Mathematicae 111 (2010), 107-128.
- "Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product" (with B. Xh. Fejzullahu). Acta Applicanda Mathematicae 110 (2010), 1309-1320.
- "Orthogonal polynomials and measures on the unit circle. The Geronimus transformations" (with L. Garza and J. Hernandez). Journal of Computational and Applied Mathematics 233 (2010), 220-1231.
- "A Cohen inequality for Fourier expansions of orthogonal polynomials with a non discrete Jacobi-Sobolev inner product" (with B. Xh. Fejzullahu). Journal of Inequalities and Applications Vol. 2010. Article ID 128746. 22 pages.
- "When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?" (with M. Alfaro, A. Peña, and M. L. Rezola). Journal of Computational and Applied Mathematics 233 (2010),1446-1452.
- "A note on monotonicity of zeros of generalized Hermite- Sobolev type orthogonal polynomials" (with F. R. Rafaeli). Integral Transforms and Special Functions, 21 (2010), 831-838.
- "Linear spectral transformations, Hessenberg matrices and orthogonal polynomials" (with K. Castillo, L. Garza). Rendiconti Circolo Matematico di Palermo, Serie II Suppl. 82 (2010), 3-26
- "Quadratic decomposition of a Laguerre-Hahn polynomial sequence I" (with B. Bouras) Bulletin Belgian Mathematical Society Simon Stevin, 17 (2010), 641-659.
- "The Laguerre-Sobolev Type Orthogonal Polynomials" (with H. Dueñas). Journal of Approximation Theory 162 (2010), 421-440.
- "q-classical orthogonal polynomials. A general difference calculus approach" (with R. Costas). Acta Applicanda Mathematicae 111 (2010), 107-128.
- "Orthogonal polynomials and second order pseudo-spectral linear differential equations" (with R. Sfaxi). Integral Transforms and Special Functions 21 (2010), 487-501.
- "Monotonicity of zeros of Laguerre-Sobolev type orthogonal polynomials" (with D. K. Dimitrov and F. R. Rafaeli). Journal of Mathematical Analysis and Applications 368 (2010), 80-89.
- "Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product" (with B. Xh. Fejzullahu). Acta Applicanda Mathematicae 110 (2010), 1309-1320.
- "Orthogonal polynomials and measures on the unit circle. The Geronimus transformations" (with L. Garza and J. Hernandez). Journal of Computational and Applied Mathematics 233 (2010), 220-1231.
- "When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?" (with M. Alfaro, A. Peña, and M. L. Rezola). Journal of Computational and Applied Mathematics 233 (2010),1446-1452.
- "Laurent polynomial perturbations of linear functionals: An inverse problem" (with K. Castillo, L. Garza). Electronic Transactions on Numerical Analysis 36 (2010), 83-98.

**2009**

- "Verblunsky parameters and linear spectral transformations" (with L. Garza). Methods and Applications of Analysis 16 (2009), 69-86.
- "Szegő transformations and rational spectral transformations for associated polynomials" (with L. Garza). Journal of Computational and Applied Mathematics, 233 (2009), 730-738.
- "On convergence and divergence of Fourier expansions with respect to some Gegenbauer-Sobolev type inner product" (with B. Xh. Fejzullahu). Communications in the Analytic Theory of Continued Fractions, 16 (2009) , 1-11.
- "Linear spectral transformations and Laurent polynomials" (with L. Garza). Mediterranean Journal of Mathematics 6 (2009), 273-289.
- "Szegő transformations and Nth order associated polynomials on the unit circle" (with L. Garza). Computers and Mathematics with Applications 57 (2009) ,1659-1671.
- "A Cohen type inequality for Laguerre-Sobolev expansions" (with B. Xh. Fejzullahu). Journal Mathematical Analysis and Applications 352 (2009), 880-889.
- "Perturbations of Laguerre-Hahn functional. Modification by the derivative of a Dirac delta" (with H. Dueñas). Integral Transforms and Special Functions 20 (2009), 59-77.

**2008**

- "Inverse finite-type relations between sequences of polynomials" (with R. Sfaxi). Revista Academia Colombiana de Ciencias Exactas, Fisicas y Naturales 32 (123) (2008), 245-255.
- "New quadrature rules for Bernstein measures on the interval [-1,1]" (with E. Berriochoa, A. Cachafeiro, and J. M. García-Amor). Electronic Transactions on Numerical Analysis 30 (2008), 278-290.
- "Geronimus spectral transforms and measures on the complex plane" (with J. Hernandez). Journal of Computational and Applied Mathematics 219 (2008) 441-456.
- "Spectral transformations of measures supported on the unit circle and the Szegő transformation" (with L. Garza). Numerical Algorithms 49 (2008) 169-185.
- "Coherent pairs of linear functionals on the unit circle" (with A. Branquinho, A. Foulquie, and M. N. Rebocho). Journal of Approximation Theory 153 (2008) 122-137.
- "Hardy type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case" (with L. D. Abreu and S. Yakubovich). Journal of Mathematical Analysis and Applications 341 (2008) 803-812.

**2007**

- "Jacobi-Type orthogonal polynomials: holonomic equation and electrostatic interpretation" (with H. Dueñas). Communications in the Analytic Theory of Continued Fractions 15 (2007) 4-19.
- "A characterization of weakly regular linear functionals" (with R. Sfaxi). Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 31 (119) (2007) 285-295.
- "Laguerre type orthogonal polynomials: Electrostatic interpretation" (with H. Dueñas). International Journal of Pure and Applied Mathematics 38 (2007) 345-358. MR# 2008i: 33032.
- "A new numerical quadrature formula on the unit circle" (with E. Berriochoa and A. Cachafeiro). Numerical Algorithms 44 (2007) 391-401. MR# 2008i: 33038.
- "Electrostatic models for zeros of polynomials: old, new, and some open problems" (with A. Martínez Finkelshtein and P. Martínez Gonzalez). Journal of Computational and Applied Mathematics 207 (2007) 258-272. MR# 2008h: 33017.
- "Orthogonal Polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegő measure" (with A. Cachafeiro, C. Pérez). Advances in Computational Mathematics 26 (2007) 81-104. MR# 2008m: 33032.
- "Second structure relation for q-semiclassical polynomials of the Hahn Tableau" (with R. Costas). Journal Mathematical Analysis and Applications 329 (2007) 206-228.
- "Spectral Transforms for Hermitian Toeplitz matrices" (with L. Daruis, J. Hernandez). Journal of Computational and Applied Mathematics 202 (2007) 155-176. MR# 2008c: 42025.
- "Second structure relation for semiclassical orthogonal polynomials" (with R. Sfaxi). Journal of Computational and Applied Mathematics 200 (2007) 537-554. MR# 2009a: 33013.

**2006**

- "Non standard orthogonal polynomials. Applications in Numerical Analysis and Approximation Theory". Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 29 (117) (2006) 1-17. ( In Spanish). MR# 2008k: 42084.
- "Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports" (with J. J. Moreno-Balcazar). Acta Applicandae Mathematicae 94 (2006) 163-192. MR# 2007i: 42002.
- "Classical orthogonal polynomials and Leverrier-Faddev algorithm for the matrix pencils sE – A" (with J. Hernández). International Journal of Mathematics and Mathematical Sciences (2006) Art ID 74507. MR# 2007f: 33012.
- " Logarithmic Asymptotics of Contracted Sobolev Extremal Polynomials" (with G. Lopez and H. Pijeira). Journal of Approximation Theory 143 (2006) 62-73. MR# 2007h: 41031.
- " A scalar Riemann boundary value problem approach to thr orthogonal polynomials on the circle" (with A. I. Aptekarev and A. Cachafeiro). Journal of Approximation Theory 141 (2006) 174-181. MR# 2007k: 33010.
- "On the basic set of solutions of a high order linear difference equation" (with S. M. Zagorodnyuk). Journal of Difference Equations and Applications 12 (2006) 213-228. MR# 2007m: 39002.
- "Polynomial perturbations of bilinear functionals and Hessenberg matrices" (with M. I. Bueno). Linear Algebra and Applications 414 (2006) 64-83. MR# 2008c: 42024.
- "Two variable orthogonal polynomials and structured matrices" (with A. M. Delgado, J. S. Geronimo, P. Iliev). SIAM Journal Matrix Analysis and Applications 28 (2006) 118-147. MR# 2006m: 47021.

**2005**

- "Christoffel transforms and Hermitian linear functionals" (with J. Hernández). Mediterranean Journal of Mathematics 2 (2005) 451-458. MR# 2006h: 42044.
- "Continuous symmetrized Sobolev inner products of order N (I)" ( with M. Isabel Bueno, and J. Sánchez Ruiz). Journal of Mathematical Analysis and Applications 306 (2005) 83-96. MR# 2005k: 42068.
- "Asymptotics for Sobolev Orthogonal Polynomials for Exponential Weights" (with J.S. Geronimo and D.S. Lubinsky). Constructive Approximation 22 (2005) 309-346. MR# 2006c: 41040.
- "On an extension of symmetric coherent pairs of orthogonal polynomials" (with A. M. Delgado). Journal of Computational and Applied Mathematics 178 (2005) 155-168. MR# 2006f: 33006.
- "Kernels and best approximations related to the system of ultraspherical polynomials" (with V. Kolyada). Journal of Approximation Theory 133 (2005) 173-194. MR# 2005k: 41087.
- "D-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation" (with I. Area, E. Godoy, J. J. Moreno-Balcázar). Journal of Computational and Applied Mathematics 178 (2005) 21-36. MR# 2006a: 33005.

**2004**

- "Companion linear functionals and Sobolev inner products" (with A. Delgado). Methods and Applications of Analysis 11 (2004) 237-266. MR# 2006f: 42022.
- "An extension of Leverrier-Faddeev algorithm using a basis of classical orthogonal polynomials" (with J. Hernández). Facta Universitatis Ser. Math. Inform. 19 (2004) 73-92. MR# 2005i: 42040.
- "On rational transformations of linear functionals. A direct problem" (with M. Alfaro, A. Peña, M. L. Rezola). Journal of Mathematical Analysis and Applications 298 (2004) 171-183. MR# 2005f: 42051.
- "Discrete-Continuous Symmetrized Sobolev Inner Product" (with M. Bueno, K. H. Kwon). Acta Applicandae Mathematicae 82 (2004) 309-331. MR# 2005f: 42053.
- "Modification of linear functionals with Dirac masses: Class of the modified linear functional (with J. Arvesu and A. Garrido ). Boletin Matemáticas. N.S. 11 (1) (2004) 32-51. MR# 2006j: 33009.
- "On the Krall-type polynomials" (with R. Alvarez-Nodarse, J. Arvesu). Journal of Applied Mathematics 5 (2004) 359-370. MR# 2005m: 33012.
- "Darboux Transformation and Perturbation of Linear Functionals" (with M. I. Bueno). Linear Algebra and Applications 384 (2004) 215-242. MR# 2005b: 15027.
- "Generalized Delta coherent pairs" (with K. H. Kwon, J. H. Lee). Journal of Korean Mathematical Society 41 (2004) 977-994. MR# 2005k: 33007.
- "Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions" (with J. Arvesu, R. Alvarez-Nodarse). Indagationes Mathematicae 15(1) (2004) 1-20. MR# 2005b: 33007.
- "Leverrier-Fadeev algorithm and classical orthogonal polynomials" (with J. Hernández, C. Rodríguez). Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 28 (106) (2004) 39-47. MR# 2005i: 42040.
- "Integral representations on equipotential and harmonic sets" (with F. H. Szafraniec). Bulletin Belgian Mathematical Society Simon Stevin 11 (2004) 457-468. MR# 2005h: 30066.

**2003**

- "On asymptotic properties of Freud-Sobolev orthogonal polynomials" (with A. Cachafeiro, J. J. Moreno-Balcázar). Journal of Approximation Theory 125 (2003) 26-41. MR# 2005e: 33004.
- "On linearly related orthogonal polynomials and their functionals" (with M. Alfaro, A. Peña, M. L. Rezola). Journal Mathematical Analysis and Applications 287 (2003) 307-319. MR# 2004i: 33014.
- "An electrostatic interpretation of zeros of Hermite-type orthogonal polynomials" (with A. Garrido). Communications in the Analytic Theory of Continued Fractions 11 (2003) 50-63. MR# 2004j: 42021.
- "Zeros of Jacobi- Sobolev orthogonal polynomials" (with D. H. Kim, K. H. Kwon, G. J. Yoon). International Mathematical Journal 4 (2003) 413-422. MR# 2004m: 33017.
- "Connection coefficients for Laguerre-Sobolev Orthogonal Polynomials" (with J. Sánchez). Journal Mathematical Analysis and Applications 283 (2003) 440-458. MR# 2004h: 33020.
- "Generating Functions and Companion Symmetric Linear Functionals" (with E. M. García Caballero and S. G. Moreno). Periodica Mathematica Hungarica 46 (2003) 51-64. MR# 2004j: 33016.
- "The moments of the M/M/s queue length process" (with G. Pérez). Queueing Systems 44 (3) (2003) 281-304. MR# 2004e: 60152.
- "Lebesgue perturbation of a quasi-definite hermitian functional. The positive definite case" (with A. Cachafeiro, C. Pérez). Linear Algebra and Applications 369 (2003) 235-250. MR# 2004d: 42042.
- "Pseudo-uniform convexity in Hp and some extremal problems on Sobolev spaces" (with M. Bello, J. Minguez). Complex Variables 48 (2003) 429-440. MR# 2004e: 30074.
- "Relative Asymptotics and Fourier Series of orthogonal polynomials with a discrete Sobolev inner product" (with I. A. Rocha, L. Salto). Journal of Approximation Theory 121 (2003) 336-356. MR# 2004:42035
- "Continuous Symmetric Sobolev Inner Products" (with M. I. Bueno). International Mathematical Journal 3 (2003) 319-342 . MR# 2003j: 42029.
- "On two models of orthogonal polynomials and their applications" (with J. Arvesú). Boletin Sociedad Española de Matemática Aplicada 23 (2003) 35-71.
- "D-Coherent pairs and orthogonal polynomials of a discrete variable" (with I. Area, E. Godoy). Integral Transforms and Special Functions 14 (2003) 31-57. MR# 2003m: 33009.
- "Second kind functionals for the Laguerre-Hahn affine class on the unit circle" (with A. Cachafeiro, C. Pérez). Bulletin Belgian Mathematical Society Simon Stevin 10 (2003) 1-16. MR# 2004j: 33013.

**2002**

- "On semiclassical orthogonal polynomials: A Generalized Jacobi functional of class s=1" (with M. J. Atia, I. A. Rocha). Facta Universitatis Ser. Math. Inform. 17 (2002) 13-34.
- "Relative Asymptotics for Orthogonal matrix polynomials with respect to Perturbed matrix Measure on the unit circle" (with H. O. Yakhlef). Journal of Approximation Theory and its Applications 18 (2002) 1-19. MR# 2004b: 42058.
- "Sobolev orthogonality and coherent pairs of moment functionals: An inverse problem" (with D. H. Kim, K. H. Kwon, G. J. Yoon). International Mathematical Journal 2 (9) (2002) 877-888. MR# 2003f: 42039.
- "A cubic decomposition of sequences of orthogonal polynomials on the unit circle" (with M. Alfaro, M. J. Cantero). Complex Variables 47 (2002) 745-759. MR# 2003g: 42039.
- "On Fourier Series with respect to a discrete Jacobi-Sobolev inner product" (with B. P. Osilenker, I. A. Rocha). Journal of Approximation Theory 117 (2002) 1-22. MR# 2003e: 42007.
- "Orthogonal Polynomials with respect to a differential operator. Existence and uniqueness" (with A. I. Aptekarev, G. López Lagomasino). Rocky Mountain Journal of Mathematics 32 (2002) 467-481. MR# 2003i: 42033.
- "Characterization of the Dw -Laguerre Hahn Functionals" (with M. Foupouagnigni). Journal of Difference Equations and Applications 8 (2002) 689-717. MR# 2003e: 33021.
- "On semiclassical linear functionals: The symmetric companion" (with J. Arvesú, M. J. Atia). Communications in the Analytic Theory of Continued Fractions 10 (2002) 13-29. MR# 2003h: 42037.
- "On a modification of the Jacobi linear functional: Asymptotic properties and zeros of orthogonal polynomials" (with R. Alvarez-Nodarse, J. Arvesu). Acta Applicandae Mathematicae 71 (2002) 127-158. MR# 2003e: 33014.
- "On Fourier Series of Jacobi-Sobolev Orthogonal Polynomials" (with B. P. Osilenker, I. A. Rocha). Journal of Inequalities and Applications 7 (2002) 673-699. MR# 2003g: 42043.
- "q-coherent pairs and q-orthogonal polynomials" (with I. Area, E. Godoy). Applied Mathematics and Computation 128 (2002) 191-216. MR# 2003d: 33038.
- "Gaussian Quadrature Formulas on the Unit Circle" (with L. Daruis, P. González-Vera). Journal of Computational and Applied Mathematics 140 (2002) 159-183. MR# 2003k: 65022.
- "Asymptotic behaviour of Sobolev type orthogonal polynomials on a rectifiable Jordan arc" (with A. Branquinho, A. Foulquié). Constructive Approximation. 18 (2002) 161-182. MR# 2002m: 42023.
- "Sobolev-Type Orthogonal Polynomials on the Unit circle" (with L. Moral). Applied Mathematics and Computation 128 (2002) 329-363. MR# 2003e: 42037.
- "On the right-definite and left-definite theory of the Legendre polynomials" (with J. Arvesú, L. L. Littlejohn). Journal of Computational Analysis and Applications 4 (2002) 363-387. MR# 2003h: 33008.

**2001**

- "On kernel polynomials and self perturbation of orthogonal polynomials" (with K. H. Kwon, D. W. Lee, S. B. Park). Annali di Matematica Pura ed Applicata 180 (2001) 127-146. MR# 2002h: 42049.
- "Perturbation in the Nevai Matrix Class of Orthogonal Matrix Polynomials" (with H. O. Yakhlef and M. Piñar). Linear Algebra and Applications 336 (2001) 231-254. MR# 2002i: 42037.
- "Orthogonality of Linear Combinations of two sequences of orthogonal polynomials" (with K. H. Kwon, J. H. Lee). Journal of Computational and Applied Mathematics 137 (2001) 109-122. MR# 2002j: 33009.
- "Orthogonal Polynomials and Cubic Polynomial Mappings II" ( with J. Petronilho). Communications in the Analytic Theory of Continued Fractions 9 (2001) 11-20. MR# 2002g: 42029.
- "On the q-polynomials: A distributional study" (with J. C. Medem, R. Alvarez-Nodarse). Journal of Computational and Applied Mathematics 135 (2001) 157-196. MR# 2003f : 33027.
- "A matrix algorithm towards solving the moment problem of Sobolev type" (with F. H. Szafraniec). Linear Algebra and Applications 331 (2001) 155-164. MR# 2002g : 44005.
- "Strong and Plancherel-Rotach Asymptotics of Non-diagonal Laguerre-Sobolev Orthogonal Polynomials" (with J. J. Moreno). Journal of Approximation Theory 110 (2001) 54-73. MR# 2002f : 42024.
- "A class of nonsymmetric orthogonal polynomials on the unit circle" (with M. J. Cantero and L. Moral). Journal of Approximation Theory 109 (2001) 30-47. MR# 2002ª: 42016.
- "Relative Asymptotics for Orthogonal matrix polynomials with Convergent Recurrence Coefficients" (with H. O. Yakhlef and M. Piñar). Journal of Approximation Theory 111 (2001) 1-30. MR# 2002d: 41044.
- "Differential properties for Sobolev Orthogonality on the Unit circle" (with E. Berriochoa, A. Cachafeiro). Journal of Computational and Applied Mathematics 133 (2001) 231-239. MR# 2002m: 42022.
- "On the "Favard Theorem" and their extensions" (with R. Alvarez Nodarse). Journal of Computational and Applied Mathematics 127 (2001) 231-254. MR# 2001ª: 42048.
- "Generalized coherent pairs" (with K. H. Kwon, J. H. Lee). Journal Mathematical Analysis and Applications 253 (2001) 482-514. MR# 2002c: 42031.

**2000**

- "Ratio and Plancherel-Rotach asymptotics for Meixner Sobolev orthogonal polynomials" (with I. Area, E. Godoy, J. J. Moreno). Journal of Computational and Applied Mathematics 116 (2000) 63-75. MR# 2000k: 42032.
- "On Meixner-Sobolev Orthogonal Polynomials" (with I. Area and E. Godoy). Journal of Difference Equations 6 (2000) 1-31. MR# 2000m: 33006.
- "Orthogonal Polynomials and Cubic Polynomial Mappings I" (with J. Petronilho). Communications in the Analytic Theory of Continued Fractions 8 (2000) 88-116. MR# 2000h: 42016.
- "Inner products involving q-differences: The little q-Laguerre Sobolev Polynomials" (with I. Area, E. Godoy, J. J. Moreno). Journal of Computational and Applied Mathematics 118 (2000) 1-22. MR# 2001d: 33018.
- "The Sobolev-type moment problem" (with F. H. Szafraniec). Proceedings American Mathematical Society 128 (2000) 2309-2318. MR# 2000k: 44006.
- "Classification of all D-Coherent pairs" (with I. Area and E. Godoy). Integral Transforms and Special Functions 9 (2000) 1-18. MR# 2001d: 33018.

**1999**

- "Compatible pairs of orthogonal polynomials" (with D. H. Kim, K. H. Kwon, D. W. Lee). Bulletin Korean Mathematical Society 36 (1999) 779-797. MR# 2001a: 33009.
- "Asymptotic behavior of Sobolev type orthogonal polynomials on the unit circle" (with A. Foulquie, K. Pan). Journal of Approximation Theory 100 (1999) 345-363. MR# 2000k: 42035.
- "A study of the generalized Christoffel Functions with Applications" (with E. Berriochoa and A. Cachafeiro). Methods and Applications of Analysis 6 (1999) 327-336. MR# 2001m: 42044.
- "Perturbations of Laguerre-Hahn Linear Functionals" (with E. Prianes). Journal of Computational and Applied Mathematics 105 (1999) 109-128. MR# 2000h: 42017.
- "Orthogonal Polynomials and Rational Modification of the Lebesgue measure on the unit circle. An inverse problem" (with A. Branquinho and L. Golinskii). Complex Variables 38 (1999) 137-154. MR# 2000b: 42019.
- "Representation of Orthogonal Polynomials for modified measures". (with X. Li). Communications in the Analytic Theory of Continued Fractions 7 (1999) 9-22. MR# 2000h: 42016.
- "Estimates for Polynomials orthogonal with respect to some Gegenbauer Sobolev type inner product" (with A. Foulquié, B. P. Osilenker). Journal of Inequalities and Applications 3 (1999) 401-419. MR# 2001g: 33033.
- "Orthogonal Polynomials and Quadratic Transformations" (with J. C. Petronilho). Portugaliae Mathematica 56(1) (1999) 81-113. MR# 2000b: 42021.

**1998**

- "Integral representations for (B)-semiclassical linear functionals" (with I. Alvarez). Journal of Approximation Theory 94 (1998) 107-127. MR# 99h: 42047.
- "Discrete semiclassical Orthogonal Polynomials" (with L. Salto). Journal of Difference Equations 4 (5) (1998) 463-496. MR# 2000e: 33010.
- "WKB Approximation and Krall-type Orthogonal Polynomials" (with R. Alvarez-Nodarse and J. C. Petronilho). Acta Applicandae Mathematicae 54 (1998) 27-58. MR#99k:42049.
- "Jacobi-Sobolev type Orthogonal Polynomials: Second Order Differential Equation and Zeros" (with J. Arvesú, R. Alvarez-Nodarse, and K. Pan). Journal of Computational and Applied Mathematics 90 (2) (1998) 137-158. MR#99h:33029.
- "Some extension of the Bessel-type orthogonal polynomials" (with J. Arvesú, R. Alvarez-Nodarse and K. H. Kwon). Integral Transforms and Special Functions 7 (3-4) (1998) 191-214. MR# 2001b: 33013.
- "On the modifications of classical orthogonal polynomials: The symmetric case" (with R. Alvarez-Nodarse). Approximation Theory and its Applications 14(1) (1998) 8-28. MR# 2000ª: 33004.
- "Strong Asymptotics on the support of the measure of orthogonality for polynomials orthogonal with respect to a discrete Sobolev inner product on the unit circle" (with A. Foulquié, F. Peherstorfer and R. Steinbauer). Rendiconti Circolo Matematico di Palermo Serie II Supl. 52 (1998) 411-425. MR#99i: 42036.
- "On convex linear combinations of sequences of monic orthogonal polynomials" (with A. Cachafeiro). Proceedings American Mathematical Society 126 (1998) 2323-2331. MR#98j:42011.

**1997**

- "Estimates for Jacobi-Sobolev type Orthogonal Polynomials" (with M. Alfaro and M.L. Rezola). Applicable Analysis 67 (1997)157-174. MR# 99c:42040.
- "Orthogonality properties of Linear Combinations of Orthogonal Polynomials II" (with F. Peherstorfer and R. Steinbauer). Advances in Computational Mathematics 7(1997) 401-428. MR#98k: 42031.
- "Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support" (with A. Martínez and J. J. Moreno). Journal of Computational and Applied Mathematics 81 (1997) 217-227 MR# 98m: 33025.
- "An asymptotic result for Laguerre Sobolev-Orthogonal Polynomials" (with H. G. Meijer, T. E. Pérez, M. A. Piñar). Journal of Computational and Applied Mathematics 87 (1997) 87-94. MR#99ª:33006.
- "Strong Asymptotics on the support of the measure for polynomials orthogonal with respect to a Sobolev-type inner product" (with A. Foulquié). Methods and Applications of Analysis 4 (1) (1997) 53-66. MR# 99b:42028.
- "On Sobolev type orthogonal polynomials" (with D. H. Kim, K. H. Kwon, S. B. Park). Rendiconti di Matematica e le sue Applicazione 17 (3) (1997) 423-444. MR# 99h:33022.
- "Perturbations of Discrete Semiclassical Functionals by Dirac Masses "(with E. Godoy, L. Salto, A. Zarzo). Special Functions and Integral Transforms 5 (1-2) (1997) 19-46. MR#98f:33015.
- "Toda-type differential Equations for the recurrence coefficients of orthogonal polynomials and Freud Transformation" (with. A. I. Aptekarev, A. Branquinho). Journal Computational and Applied Mathematics 78 (1997) 139-160. MR#98f: 33013.
- "Estimates for polynomials orthogonal with respect to some Legendre-Sobolev type inner product" (with B. P. Osilenker). Mathematicheskie Zametkii 62(6) (1997) 871-880 (English version Mathematical Notes 62(6) (1997) 731-738. MR# 99e:42036.
- "The limit relations between generalized orthogonal polynomials" (with R. Alvarez Nodarse). Indagationes Mathematicae 8 (1997) 295-316. MR# 99g:33015.
- "Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials" (with A. I. Aptekarev, I. A. Rocha). Journal of Approximation Theory 90 (1997) 117-146. MR#98k:33012.
- "Eigenproblems for tridiagonal 2-Toeplitz matrices and Quadratic Polynomial Mappings" (with J. C. Petronilho). Linear Algebra and its Applications 260 (1997) 169-208. MR#98c:15032.

**1996**

- "Orthogonality Properties of Linear Combinations of Orthogonal Polynomials" (with F. Peherstorfer, R. Steinbauer). Advances in Computational Mathematics, 5 (1996) 281-295. MR# 97k: 42050.
- "On operators preserving orthogonality of polynomials" (with F. H. Szafraniec). Studia Mathematica 120 (1996) 205-218. MR# 97j: 47053.
- "General Sobolev Orthogonal Polynomials" (with T. Pérez, M. Piñar, A. Ronveaux). Journal Mathematical Analysis and Applications 200 (1996) 614-634. MR# 97f: 42040.
- "Orthogonal Polynomials and Stieltjes functions: The Laguerre-Hahn case" (with E. Prianes). Rendiconti di Matematica e le sue Applicazione Serie VII, 16 (1996) 117-141. MR# 97f: 42040.
- "A generalization of the classical Laguerre Polynomials II: Asymptotic properties" (with R. Alvarez-Nodarse). Applicable Analysis 62 (1996) 349-366. MR#99b: 33010.
- "Generating new classes of orthogonal polynomials" (with A. Branquinho). International Journal on Mathematics and Mathematical Sciences 19 (4) (1996) 643-656. MR# 97j: 33012.
- "Laguerre Sobolev Orthogonal Polynomials" (with T. Pérez, M. Piñar) Journal of Computational and Applied Mathematics 71 (1996) 245-265. MR# 97h: 33018.
- "On Polynomials Orthogonal with respect to a Sobolev inner product on the Unit Circle" (with X. Li). Pacific Journal of Mathematics 175, (1) (1996) 127-146. MR# 98b: 42041.
- "On some properties of orthogonal polynomials related to a Sobolev- type inner product on the unit circle" (with A. Cachafeiro). Facta Universitatis Ser. Math. Inform. 11 (1996), 67-78. MR# 98e:42021.

**1995**

- "On the properties of modifications of classical orthogonal polynomials of discrete variables" (with R. Alvarez-Nodarse and A. García). Journal of Computational and Applied Mathematics 65 (1995) 3-18. MR# 98b: 33018.
- "The modification of Classical Hahn Polynomials of a discrete variable" (with R. Alvarez-Nodarse). Integral Transforms and Special Functions 3(4) (1995) 243-262. MR# 97j: 33010.
- "What is beyond Coherent Pairs of Orthogonal Polynomials?" (with J. C. Petronilho,T. Pérez, M. Piñar). Journal of Computational and Applied Mathematics 65 (1995) 267-277. MR# 96m: 42042.
- "Sobolev-type Orthogonal Polynomials: the Nondiagonal case" (with M. Alfaro, M. L. Rezola and A. Ronveaux). Journal of Approximation Theory 83 (1995) 266-287. MR# 96m: 42037.
- "Orthogonal Polynomials: Coherent pairs" (with J. C. Petronilho). Indagationes Mathematicae N.S. 6(3) (1995) 287-307. MR# 96k: 33017.
- "Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product" (with G. López, W. Van Assche). Constructive Approximation 11 (1995) 107-137. MR# 96c: 42051.
- "A generalization of the classical Laguerre Polynomials" (with R. Alvarez-Nodarse). Rendiconti del Circolo Matematico de Palermo Serie II Tomo XLIV (1995) 315-329. MR# 96k: 33010.
- "Regular Sobolev type orthogonal polynomials: The Bessel case" (with T. Pérez, M. Piñar). Rocky Mountain Journal of Mathematics 25(4) (1995) 1431-1457. MR# 97f: 33015.
- "A distributional study of discrete classical orthogonal polynomials" (with A. García, L. Salto). Journal of Computational and Applied Mathematics 57 (1-2) (1995) 147-162. MR#96m: 33004.
- "On semiclassical linear functionals: Integral representations" (with I. Alvarez). Journal of Computational and Applied Mathematics 57 (1-2) (1995) 239-250. MR#96f: 42028.
- "Difference equation for modification of Meixner Polynomials" (with R. Alvarez-Nodarse). Journal of Mathematical Analysis and Applications 194(1) (1995) 250-258. MR# 96k: 33009.
- "Orthogonal Polynomials on Weighted Sobolev Spaces: The semiclassical case" (with T. Pérez, M. Piñar). Annals of Numerical Mathematics 2 (1995) 93-122. MR#97ª: 33023.
- "On recurrence relations for Sobolev polynomials" (with D. Evans L. L. Littlejohn, C. Markett, A. Ronveaux). SIAM Journal Mathematical Analysis 26(2) (1995) 446-467. MR# 96c:42049.

**1994**

- "On the solutions of some distributional Differential Equations: Existence and Characterizations of the classical Moment Functionals" (with J. C. Petronilho). Integral Transforms and Special Functions 2(3) (1994) 185-218. MR#98f: 33019.
- "Classical orthogonal polynomials: A functional approach" (with A. Branquinho, J. C. Petronilho). Acta Applicandae Mathematica 34 (1994) 283-303. MR# 95b:33024.
- "Orthogonal polynomials of Sobolev type on the unit circle" (with M. A. Cachafeiro). Journal of Approximation Theory 78 (1994) 127-146. MR# 95f: 42039.
- "Symmetric orthogonal polynomials for Sobolev type inner products" (with M. Alfaro, H. Meijer, M. L. Rezola). Journal of Mathematical Analysis and Applications. 184(2) (1994) 360-381. MR# 95d:42027.

**1993**

- "On zeros of regular orthogonal polynomials on the unit circle" (with P. García Lázaro). Annales Polonici Mathematici LVIII 3 (1993) 287-298. MR#94i:42029.
- "Orthogonal polynomials and rational modification of measures" (with E. Godoy). Canadian Journal of Mathematics 45(5) (1993) 930-943. MR#95ª:42031.
- "On a class of matrix orthogonal polynomials on the real line" (with G. Sansigre). Linear Algebra and Applications. 181(1993) 97-110. MR# 94b: 42012.
- "Orthogonal polynomials and cubic transformations" (with G. Sansigre). Journal of Computational and Applied Mathematics 49 (1-2-3) (1993) 161-168. MR#95c: 42029.
- "On inverse problems for orthogonal polynomials:I" (with A. Branquinho, J. C. Petronilho). Journal of Computational and Applied Mathematics 49 (1-2-3) (1993) 153-160. MR# 95e:42025
- "Orthogonal polynomials on Sobolev spaces: Old and new directions" (with M. Alfaro and M. L. Rezola). Journal of Computational and Applied Mathematics. 48 (1-2) (1993) 113-131. MR#94m: 42054.
- "Appell orthogonal polynomials on the unit circle" (with C. Tasis). Portugalliae Mathematica. Vol 50, 3 (1993) 335-342. MR# 95h:42029.
- "Relative Asymptotics for orthogonal polynomials with a Sobolev inner product" (with W. Van Assche). Journal of Approximation Theory 72 (1993) 193-209. MR#94h:42037.
- "Modifications of Toeplitz matrices: Jump functions" (with M. A. Cachafeiro). Rocky Mountain Journal of Mathematics 23(2) (1993) 521-531. MR#94g:42035.

**1992**

- "Quadratic decomposition for orthogonal polynomials: A matrix approach" (with G. Sansigre). Numerical Algorithms 3 (1-4) (1992) 285-298. MR#94g:42036.
- "Sur l´adjonction d´une masse de Dirac à une forme regulière et semiclassique" (with P. Maroni). Annali di Matematica Pura ed Applicata IV 162 (1992) 1-22. MR#94e:33014.
- "On zeros of Sobolev type orthogonal polynomials" (with T. E. Perez, M. A. Piñar). Rendiconti di Matematica (Roma) Serie VII 12 (1992) 455-473. MR#94f:33015.
- "Orthogonal polynomials associated to some modifications of a linear functional" (with S. Belmehdi). Applicable Analysis 46 (1992) 1-24. MR#94f:33012.
- "On orthogonal polynomials of Sobolev type: Algebraic properties and zeros" (with M. Alfaro, M. L. Rezola, A. Ronveaux). SIAM Journal Mathematical Analysis 23(3) (1992) 737-757. MR # 93g:42015.

**1991**

- "Orthogonal polynomials on the unit circle: Distribution of zeros" (with E. Godoy). Journal of Computational and Applied Mathematics 37(1-3) (1991) 195-208. MR # 92m:42027.
- "Orthogonality with respect to the sum of two semiclassical regular linear forms" (with A. Ronveaux, S. Belmehdi). Journal of Computational and Applied Mathematics 37(1-3) (1991) 265-272. MR # 92m:42028.
- "Orthogonal polynomials on the unit circle and their derivatives" (with P. Maroni). Constructive Approximation 7 (1991) 341-348. MR # 92j:42026.
- "Orthogonal polynomials on the unit circle: Symmetrization and Quadratic Decomposition" (with G. Sansigre). Journal of Approximation Theory 65(1) (1991) 109-119. MR # 92h:42035.
- "Perturbations in Toeplitz matrices II: Asymptotic properties" (with A. Cachafeiro). Journal of Mathematical Analysis and Applications 156(1) (1991) 44-51. MR# 93d: 42025.
- "An analog of the Christoffel formula for polynomial modification of a measure on the unit circle" (with E. Godoy). Bolletino Unione Matematica Italiana (7) 5-A (1991) 1-12. MR# 92c:42022.

**1990**

- "On a class of polynomials orthogonal with respect to a discrete Sobolev inner product" (with A. Ronveaux). Indagationes Mathematicae. New series 1(4) (1990) 451-464. MR # 92f: 42029.
- "The characterization of the quasi-typical extension of an inner product" (with A. Cachafeiro). Journal of Approximation Theory 62(2) (1990) 235-242. MR# 91m:42024.
- "On orthogonal polynomials with perturbed recurrence relations" (with J. S. Dehesa and A. Ronveaux). Journal of Computational and Applied Mathematics 30 (1990) 203-212. MR# 91h:33003.

**1989**

- "Co-recursive orthogonal polynomials and fourth order differential equations" (with A. Ronveaux). Journal of Computational and Applied Mathematics 25(1) (1989) 105-109. MR # 89k:65026.
- "A class of matrix orthogonal polynomials on the unit circle" (with I. Rodriguez). Linear Algebra and Applications 121 (1989) 233-241. MR # 90i:30009.
- "Differential equation for classical-type orthogonal polynomials" (with A. Ronveaux). Canadian Mathematical Bulletin 32(4) (1989) 404-410. MR # 90j:33014.

**1984**

- "Recurrence relations for orthogonal polynomials on algebraic curves" (with M. Alfaro). Portugalliae Mathematica 42(1) (1984) 41-51. MR # 86j:42030.

**1970-1980**

- "Expresiones de p-recurrencia" (with E. Atencia). Publicaciones Secció de Matemáticas. Universitat Autónoma Barcelona 21 (1980) 149-152. MR # 86g:00012b.
- "Fórmulas de sumación para polinomios ortogonales sobre lemniscatas" (with M. Alfaro). Publicaciones Secció Matemáticas. Universitat Autónoma de Barcelona 21 (1980) 161-167. MR # 86h: 00009.
- "Extensión de productos escalares relativos a lemniscatas" (with C. Boada). Revista Universidad de Santander 2 (1979) 161-167. MR # 86h:00009 a.
- "Sucesiones fundamentales de parámetros en la teoría de polinomios ortogonales sobre lemniscatas" (with M. Alfaro). Revista Universidad de Santander 2 (1979) 83-91. MR # 86h:00009 a.
- "Equivalencia entre las fórmulas fundamentales en la teoría de polinomios ortogonales sobre cassinianas". Revista Academia de Ciencias Zaragoza 33 (1978) 43-52. MR # 82g:33028.
- "Funcionales continuos para la convergencia en medida" (with J. L. Rubio de Francia). Publicaciones Instituto Jorge Juan de Matemáticas (1973) 140-162. MR # 82d:28008.