Copyright 2018 - Site designed and maintained by: Ariel Díaz De Armas

 

Catedrático de Universidad
(Full Professor)

Office: 2.1.D.19 (Edificio Sabatini)
Phone: +34 916249442
E-Mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Curriculum Vitae: English / Spanish
Mathematics Genealogy Project

 

Portal: http://www.pacomarcellan.org

 

2018

  1. "Matrix biorthogonal polynomials on the real line: Geronimus transformations" (with G. Ariznabarreta, J, C. García Ardila, M. Mañas). Bulletin of Mathematical Sciences. In press.
  2. "Linear combinations of d-orthogonal polynomials" (with A. Saib) . Bulletin of the Malaysian Mathematical Sciences Society. In press.
  3. "On bivariate classical orthogonal polynomials" (with M. E. Marriaga, T. E. Pérez, M. A. Piñar). Applied Mathematics and Computation, 325 (2018) 340-357.
  4. "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.
  5. "A canonical Geronimus transformation for matrix orthogonal polynomials" (with J. C. García-Ardila, L. E. Garza). Linear and Multilinear Algebra, 66 (2018) 357-381.
  6. "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.
  7. "Weighted Sobolev spaces: Markov-type inequalities and duality" (with Y. Quintana, J. M. Rodríguez). Bulletin of Mathematical Sciences, 8 (2018) 233-256.
  8. "Non-abelian integrable hierarchies:matrix biorthogonal polynomials and perturbations" (with G. Ariznabarreta, J, C. García Ardila, M. Mañas). J. Phys. A. Math. Gen., 51 (2018) 205204 (46 pp).
  9. "Algunas propiedades estremales 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.
  10. "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

  1. "What is a... Sobolev orthogonal polynomial", (with J. J. Moreno-Balcázar). Notices American Mathematical Society, 64 (8) (2017), 873-875.
  2. "Asymptotics for varying discrete Sobolev orthogonal polynomials", (with J. F. Mañas-Mañas, J. J. Moreno-Balcázar). Applied Mathematics and Computation, 314 (2017), 65-79.
  3. "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.
  4. "Quadratures and integral transforms arising from generating functions" ,(with R. G. Campos). Applied Mathematics and Computation, 297 (2017) 8-18.
  5. "On perturbed orthogonal polynomials on the real line and the unit circle via Szegö's transformation", (with K. Castillo, J. Rivero). Applied Mathematics and Computation, 302 (2017) 97-110.
  6. "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

  1. "Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations. The degenerate case", (with H. O. Yakhlef). Mediterranean Journal of Mathematics, 13 (2016) 3135-3153.
  2. "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.
  3. "Darboux transformations for CMV matrices", (with M. J. Cantero, L. Moral, and L. Velázquez). Advances in Mathematics 298 (2016), 122–206.
  4. "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.

2010-2018

  1. "Finite Laurent orthogonal polynomials" (with A. Swaminathan). The Mathematics of the Uncertain: A Tribute to Pedro Gil (E. Gil, E. Gil. J. Gil, M.A. Gil Editors). Studies in Systems, Decision and Control Series. Springer Verlag. Berlin. 2018. 869-878.
  2. "On co-polynomials on the real line and the unit circle" (with K. Castillo and J: Rivero). Operations Research, Engineering, and Cybersecurity: Trends in Applied Mathematics and Technology (N. J. Daras, T. Rassias, eds.), Springer Verlag, Berlin - Heidelberg - New York, 2017. 69-94.
  3. "On some recent results on asymptotic behavior of orthogonal polynomials on the unit circle and inserting point masses" (with K. Castillo). Computation, Cryptography and Network Security (N. J. Daras, M. Th. Rassias, eds.), Springer Verlag, Berlin - Heidelberg - New York, 2015. 75-101.
  4. “On a direct Uvarov-Chihara problem and some extensions” (with K. Castillo and L. Garza). Analytic Number Theory, Approximation Theory, and Special Functions - In Honor of Hari M. Srivastava ( G. V. Milovanovic, M. Th. Rassias, eds.), Springer Verlag, Berlin - Heidelberg - New York, 2014. 691-704.
  5. “Quadrature rules on the unit circle. A survey” (with L. Garza). Recent Trends in Orthogonal Polynomials and Approximation Theory. F. Marcellan et al Editors Contemporary Mathematics. Vol. 507. Amer. Math. Soc. Providence, RI. 2010. 113-140. MR#2011g: 33018.
  6. “Guillermo Lopez Lagomasino: mathematical life” (with A. Martinez Finkelshtein). Recent trends on Orthogonal Polynomials and Approximation Theory. F. Marcellan et al Editors. Contemporary Mathematics. Vol 507. Amer. Math. Soc. Providence, RI. 2010. 1-24.
  7. “Recent trends on two variable orthogonal polynomials” (with L. Fernández, T. E. Pérez, and M. Piñar). Proceedings of Jairo Charris Seminar on Analysis and Geometry. Contemporary Mathematics. P. Acosta et al Editors. Vol. 509. Amer. Math. Soc. Providence, RI. 2010. 59-86. MR# 2011f: 42030.

2000-2009

  1. “Orthogonal polynomials and Sobolev inner products”. Coimbra Lecture Notes on Orthogonal Polynomials. A. Branquinho and A. Foulquie Editors. Advances in the Theory of Special Functions and Orthogonal Polynomials. Nova Science. New York 2008. 155-182.
  2. “Semiclassical linear functionals of class 2: the symmetric case” (with A. M. Delgado).
  3. “Asymptotics and zeros of symmetrically coherent pairs of Hermite type “ (with M. G. de Bruin, W. G. M. Groenevelt, H. G. Meijer, and J. J. Moreno- Balcazar). Difference Equations, Special Functions, and Orthogonal Polynomials. Proceedings of the International Conference Munich 2005. S. Elaydi et al. Editors. World Scientific. Singapore. 2007. 378-393. MR# 2009h: 42034.

1990

  1. “D-Appell orthogonal polynomials on the unit circle” (with C. Tasis). Actas VI Simposio de Polinomios Ortogonales y Aplicaciones. L. Arias et al. Editors. Universidad de Oviedo. 1990. 209-215.
  2. “Generating orthogonal polynomials with MATHEMATICA” (with A. Zarzo). Actas VI Simposio de Polinomios Ortogonales y Aplicaciones. L. Arias et al. Editors. Universidad de Oviedo. 1990. 216-223.
  3. “Orthogonal polynomials: Symmetrization on the unit circle” (with G. Sansigre). Actas VI Simposio de Polinomios Ortogonales y Aplicaciones. L. Arias et al. Editors. Universidad de Oviedo. 1990. 198-208.
  4. “Toeplitz matrices and discrete functionals” (with M. A. Cachafeiro). Actas VI Simposio de Polinomios Ortogonales y Aplicaciones. L. Arias et al. Editors. Universidad de Oviedo. 1990. 92-102.
  5. “Polinomios ortogonales semiclásicos en la circunferencia unidad” (with P. García, C. Tasis). Actas XI Jornadas Hispano-Lusas de Matemáticas. Servicio de Publicaciones. Universidad de La Laguna. 1990. Vol 1. 365-370.

1980-1989

  1. “Polinomios ortogonales semiclásicos: Una aproximación constructiva”. Actas V Simposio de Polinomios Ortogonales y Aplicaciones. A. Cachafeiro et al. Editores. Universidad de Santiago. 1988. 100-123. MR# 92c:33012.
  2. “Orthogonal polynomials on B.L.: A constructive approach” (with P. Garcia-Lazaro, I. Perez-Grasa). Actas XII Jornadas Luso-Espanholas de Matematica. Universidade do Minho. 1988. Vol 1. 320-325.
  3. “Rational modifications of Borel measures” (with E. Godoy). Actas XII Jornadas Luso-Espanholas de Matematica. Universidade do Minho. 1988. Vol 1. 326-330.
  4. “Polinomios ortogonales y medidas singulares sobre curvas” (with M. A. Cachafeiro). Actas XI Jornadas Matemáticas Hispano-Lusas. Servicio de Publicaciones. Universidad de Extremadura. 1987. Vol 1. 128-139. MR # 42029.
  5. “Polinomios ortogonales sobre la lemniscata de Bernoulli y matrices Toeplitz por bloques” (with I. Rodriguez). Actas XI Jornadas Matemáticas Hispano- Lusas. Servicio de Publicaciones. Universidad de Extremadura. 1987. Vol 1. 315-320. MR # 89k:42025.
  6. “Cuadraturas en espacios de Sobolev” (with A. Cachafeiro). Actas III Simposio de Polinomios Ortogonales y Aplicaciones. F. Marcellán Editor. Servicio de Publicaciones. ETSII. Universidad Politécnica. Madrid. 1986. 61-70. MR# 92c:65028.
  7. “Propiedades asintóticas de los polinomios ortogonales sobre la lemniscata de Bernoulli” (with L. Moral). Actas III Simposio de Polinomios Ortogonales y Aplicaciones. F.Marcellán Editor. Servicio de Publicaciones ETSII. Universidad Politécnica. Madrid. 1986. 123-134.

2010-2011

  1. D. Barrios, F. Marcellán, A. Martínez Finkelshtein. Proceedings of the International Workshop on Orthogonal Polynomials and Approximation. Theory dedicated to the 60th Anniversary of Guillermo Lopez Lagomasino. Journal of Approximation Theory Volume 163. 2011.
  2. P. B. Acosta-Humanez, F. Marcellán, Editors. Differential Algebra, Complex Analysis, and Orthogonal Polynomials. Contemporary Mathematics Volume 509. American Mathematical Society. Providence, Rhode Island. 2010.
  3. J. Arvesu, F. Marcellán, A. Martínez Finkelhstein, Editors. Recent Trends in Orthogonal Polynomials and Approximation Theory. Contemporary Mathematics Volume 507. American Mathematical Society. Providence, Rhode Island. 2010.
  4. F. Marcellan, R. Yañez, A. Zarzo, Editors. Special Functions, Information Theory, and Mathematical Physics. Journal of Computational and Applied Mathematics. Vol. 233. 2010.

2000-2009

  1. F. Marcellan, Y. Quintana. Polinomios Ortogonales No Estándar. Propiedades Algebraicas y Analíticas. Ediciones Instituto Venezolano de Investigaciones Científicas. Caracas. 2009.
  2. F. Marcellán, A. Ruffing, Editors. Difference Equations and Special Functions. Proceedings workshop held at Bexbach, Germany. Electronic Transactions on Numerical Analysis Vol. 27. 2007.
  3. R. Alvarez Nodarse, J. Arvesú, and F. Marcellán, Editors. Orthogonal Polynomials in Mathematical Physics. Proceedings workshop held at the University Carlos III de Madrid. Electronic Transactions on Numerical Analysis Vol. 24 . 2006.
  4. F. Marcellán, W. Van Assche Editors. Orthogonal Polynomials and Special Functions: Recent Trends in Computation and Applications. Lecture Notes in Mathematics. Volume 1883. Springer Verlag. 2006. MR#2007c:33012.
  5. R. Alvarez Nodarse, J. Arvesú, and F. Marcellán, Editors. Orthogonal Polynomials in Approximation Theory. Proceedings workshop held at the University Carlos III de Madrid. Electronic Transactions on Numerical Analysis Vol. 19. 2005.
  6. R. Alvarez Nodarse, F. Marcellán, and W. Van Assche Editors. Advances in the Theory of Special Functions and Orthogonal Polynomials. Laredo. Proceedings. Nova Science. 2004. MR#2005c:33001.
  7. W. Gautschi, F. Marcellán, and L. Reichel, Editors. Orthogonal Polynomials and Quadrature. Journal of Computational and Applied Mathematics. Vol 127. 2001. MR# 2001i:00024.

1990-1999

  1. R. Alvarez Nodarse and F. Marcellán, Editors. Orthogonal Polynomials: Numerical and Symbolic Algorithms. Proceedings workshop held at the University Carlos III de Madrid. Electronic Transactions on Numerical Analysis Vol 9. 1999. MR#2000k:00042.
  2. A. Martínez, F. Marcellán, and J. J. Moreno, Editors. Complex Methods in Approximation Theory. Proceedings workshop held at the Universidad de Almería. Almería 1997. MR#99b:00012.
  3. M. Alfaro, R. Alvarez-Nodarse, and G. López Lagomasino, F. Marcellán, Editors. Orthogonal Polynomials in Mathematical Physics. Proceedings workshop held at the Universidad Carlos III de Madrid. Leganés.1996. MR#98b:33001.
  4. M. Florenzano, J. Guddat, M. Jiménez, H. T. Jongen, G. López Lagomasino, abd F. Marcellán, Editors. Approximation and Optimization II. Proceedings Second International Conference in Approximation and Optimization Theory. Peter Lang. Frankfurt. 1995.
  5. M. Alfaro, A. García, C. Jagels, and F. Marcellán, Editors. Orthogonal Polynomials on the unit circle: Theory and Applications, Proceedings workshop held at the Universidad Carlos III de Madrid. Leganés. 1994. MR#95i:42002.
  6. F. Marcellán, and J. Vinuesa, Editors. Seminario Avanzado en Teoría de Aproximación. Proceedings Advanced Seminar on Approximation Theory. Leganés 1994.

1980-1989

  1. M. Alfaro, J. S. Dehesa, F. J. Marcellán, J. L. Rubio de Francia, and J. Vinuesa, Editors. Orthogonal Polynomials and Their Applications. Lecture Notes in Mathematics volume 1329. Springer Verlag. Berlin 1988. MR#89f:00027.
  2. F. Marcellán, Editor. Polinomios Ortogonales y Aplicaciones. Actas III Simposio de Polinomios Ortogonales y Aplicaciones. Servicio de Publicaciones ETSII. Universidad Politécnica. Madrid. 1986. MR #91m:00037.

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