Edit Profile (opens in new tab) Marcellán Español, Francisco Compute Distance To: Compute Author ID: marcellan-espanol.francisco Published as: Marcellán, Francisco; Marcellán, F.; Marcellan, F.; Marcellan, Francisco; Marcellán Español, Francisco; Marcellan Español, Francisco; Español, Francisco Marcellán; Marcellan, Francisco J.; Espanol, F. Marcellan; Español, F. Marcellán; Marcellan Español, F. Homepage: http://gama.uc3m.es/index.php/fmarcellan.html External Links: MGP Documents Indexed: 330 Publications since 1978, including 1 Book 18 Contributions as Editor Reviewing Activity: 92 Reviews Biographic References: 2 Publications Co-Authors: 157 Co-Authors with 335 Joint Publications 2,179 Co-Co-Authors all top 5 Co-Authors 7 single-authored 20 Álvarez-Nodarse, Renato 20 Cachafeiro, Alicia 17 Alfaro García, Manuel 16 Piñar, Miguel A. 15 Castillo, Kenier 15 Moreno-Balcázar, Juan José 14 Garza, Luis E. 14 Pérez, Teresa E. 12 Branquinho, Amílcar José Pinto Lopes 12 Godoy, Eduardo Paciência 12 Huertas Cejudo, Edmundo José 12 Petronilho, José C. 11 Arvesú, Jorge 11 García-Ardila, Juan Carlos 10 Kwon, Kil Hyun 10 Rezola, María Luisa 8 Dueñas, Herbert 8 Hernández, Javier 8 Martínez-Finkelshtein, Andrei 8 Pinzón-Cortés, Natalia Camila 8 Rocha, Ignacio A. 8 Ronveaux, André 7 Area, Iván 7 Fejzullahu, Bujar Xh. 7 Foulquié Moreno, Ana Pilar 7 Quintana, Yamilet 6 Bouras, Belgacem 6 Bueno, María Isabel 6 Marriaga, Misael E. 6 Moral, Leandro 6 Sfaxi, Ridha 6 Yakhlef, Hossain O. 5 Berriochoa, Elías 5 Cantero, María José 5 López Lagomasino, Guillermo Tomás 5 Osilenker, Boris P. 5 Prianes, Eduardo 5 Sansigre, Gabriela 5 Van Assche, Walter 4 Aptekarev, Alexander Ivanovich 4 Delgado, Antonia M. 4 Garza, Lino G. 4 Kim, Deok-Ho 4 Mañas, Manuel 4 Peña, Ana 4 Pérez Valero, María Francisca 4 Pijeira-Cabrera, Héctor 4 Rafaeli, Fernando Rodrigo 4 Salto, L. 4 Szafraniec, Franciszek Hugon 3 Ariznabarreta, Gerardo 3 Costas-Santos, Roberto S. 3 García Lázaro, P. 3 Geronimo, Jeffrey S. 3 Mañas-Mañas, Juan F. 3 Meijer, Henk G. 3 Mendes, Ana 3 Peherstorfer, Franz 3 Ranga, A. Sri 3 Reichel, Lothar 3 Rivero, Jorge 3 Sánchez-Ruiz, Jorge 3 Steinbauer, Robert 3 Urieles, Alejandro 3 Velázquez, Luis 2 Atia, Mohamed Jalel 2 Belmehdi, Said 2 Daruis, Leyla 2 de Jesus, M. N. 2 Dehesa, Jesús S. 2 Derevyagin, Maxim S. 2 Dominici, Diego Ernesto 2 Dueñas Ruiz, Herbert 2 Fernández, Lidia 2 García, Antonio G. 2 Gautschi, Walter 2 Habbachi, Y. 2 Jabee, Saima 2 Littlejohn, Lance L. 2 Maroni, Pascal 2 Medem, J. C. 2 Molano Molano, Alejandro 2 Rebocho, M. N. 2 Rodríguez García, José Manuel 2 Sghaier, Mabrouk 2 Xu, Yuan 2 Zaatra, Mohamed 2 Zagorodnyuk, Sergey Mihaylovich 1 Abreu, Luís Daniel 1 Acosta Humánez, Primitivo Belén 1 Alaya, Atef 1 Aloui, Baghdadi 1 Álvarez-Fernández, Carlos 1 Arceo, Alejandro 1 Ayadi, N. 1 Beltrán, Carlos 1 Boada Apilluelo, Cristina 1 Bultheel, Adhemar François 1 Campos, Rafael G. 1 Chaggara, Hamza ...and 57 more Co-Authors all top 5 Serials 39 Journal of Computational and Applied Mathematics 24 Journal of Approximation Theory 22 Journal of Mathematical Analysis and Applications 17 Integral Transforms and Special Functions 15 Linear Algebra and its Applications 14 Applied Mathematics and Computation 12 Journal of Difference Equations and Applications 10 Acta Applicandae Mathematicae 8 Numerical Algorithms 8 ETNA. Electronic Transactions on Numerical Analysis 7 Mediterranean Journal of Mathematics 6 Proceedings of the American Mathematical Society 5 Rocky Mountain Journal of Mathematics 4 Constructive Approximation 4 Facta Universitatis. Series Mathematics and Informatics 4 Indagationes Mathematicae. New Series 4 Methods and Applications of Analysis 4 Journal of Inequalities and Applications 4 Bulletin of Mathematical Sciences 3 Applicable Analysis 3 Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 3 Pacific Journal of Mathematics 3 Portugaliae Mathematica 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Complex Variables. Theory and Application 3 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Advances in Computational Mathematics 3 International Mathematical Journal 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Computers & Mathematics with Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal of Mathematics and Mathematical Sciences 2 Approximation Theory and its Applications 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Turkish Journal of Mathematics 2 The Ramanujan Journal 2 Contemporary Mathematics 2 Lecture Notes in Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Studia Mathematica 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 BIT 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the Korean Mathematical Society 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Publicaciones del Seminario Matematico Garcia de Galdeano 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Revista Colombiana de Matemáticas 1 Bulletin of the Korean Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Queueing Systems 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 The Journal of Analysis 1 Annals of Numerical Mathematics 1 European Mathematical Society Newsletter 1 Abstract and Applied Analysis 1 Journal of Computational Analysis and Applications 1 Boletín de Matemáticas. Nueva Serie 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Applied Mathematics 1 International Journal of Pure and Applied Mathematics 1 Complex Variables and Elliptic Equations 1 Approximation and Optimization 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis and Discrete Mathematics 1 Afrika Matematika 1 SEMA SIMAI Springer Series 1 EMS Series of Lectures in Mathematics all top 5 Fields 254 Harmonic analysis on Euclidean spaces (42-XX) 231 Special functions (33-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 21 Functions of a complex variable (30-XX) 20 Numerical analysis (65-XX) 19 General and overarching topics; collections (00-XX) 14 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 11 Functional analysis (46-XX) 9 Difference and functional equations (39-XX) 7 Ordinary differential equations (34-XX) 5 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 273 Publications have been cited 2,448 times in 939 Documents Cited by ▼ Year ▼ Classical orthogonal polynomials: A functional approach. Zbl 0793.33009Marcellán, F.; Branquinho, A.; Petronilho, J. 80 1994 Darboux transformation and perturbation of linear functionals. Zbl 1055.42016Bueno, M. I.; Marcellán, F. 65 2004 On Sobolev orthogonal polynomials. Zbl 1351.33011Marcellán, Francisco; Xu, Yuan 60 2015 Orthogonal polynomials on Sobolev spaces: Old and new directions. Zbl 0790.42015Marcellán, F.; Alfaro, M.; Rezola, M. L. 55 1993 Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017López, G.; Marcellán, F.; Van Assche, Walter 47 1995 On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 45 1992 On the assignment of a Dirac-mass for a regular and semi-classical form. (Sur l’adjonction d’une masse de Dirac à une forme régulière et semi-classique.) Zbl 0771.33008Marcellan, F.; Maroni, P. 44 1992 On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016Marcellan, F.; Ronveaux, A. 43 1990 A distributional study of discrete classical orthogonal polynomials. Zbl 0853.33009García, A. G.; Marcellán, F.; Salto, L. 41 1995 On the \(q\)-polynomials: A distributional study. Zbl 0991.33007Medem, J. C.; Álvarez-Nodarse, R.; Marcellán, F. 41 2001 On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021Marcellan, F.; Dehesa, J. S.; Ronveaux, A. 40 1990 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 35 1995 Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. Zbl 1137.42312Marcellán, Francisco; Moreno Balcázar, Juan José 33 2006 Orthogonal polynomials and coherent pairs: The classical case. Zbl 0843.42010Marcellán, F.; Petronilho, J. 32 1995 Relative asymptotics for orthogonal polynomials with a Sobolev inner product. Zbl 0771.42014Marcellán, Francisco; Van Assche, Walter 28 1993 Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings. Zbl 0877.15010Marcellán, F.; Petronilho, J. 27 1997 On the “Favard theorem” and its extensions. Zbl 0970.33008Marcellán, Francisco; Álvarez-Nodarse, Renato 27 2001 Spectral transformations for Hermitian Toeplitz matrices. Zbl 1131.42301Daruis, Leyla; Hernández, Javier; Marcellán, Francisco 26 2007 Orthogonal polynomials and rational modifications of measures. Zbl 0796.42016Godoy, E.; Marcellan, F. 24 1993 Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials. Zbl 1300.33013Gómez-Ullate, David; Marcellán, Francisco; Milson, Robert 23 2013 An analog of the Christoffel formula for polynomial modification of a measure on the unit circle. Zbl 0728.33003Godoy, Eduardo; Marcellan, Francisco 23 1991 Laguerre-Sobolev orthogonal polynomials. Zbl 0855.33015Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. 23 1996 Semiclassical multiple orthogonal polynomials and the properties of Jacobi-Bessel polynomials. Zbl 0878.33004Aptekarev, A. I.; Marcellán, F.; Rocha, I. A. 23 1997 Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005Ronveaux, A.; Marcellan, F. 22 1989 Electrostatic models for zeros of polynomials: old, new, and some open problems. Zbl 1131.30002Marcellán, F.; Martínez-Finkelshtein, A.; Martínez-González, P. 22 2007 On a class of matrix orthogonal polynomials on the real line. Zbl 0769.15010Marcellán, Francisco; Sansigre, Gabriela 20 1993 Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 20 1995 Discrete semi-classical orthogonal polynomials. Zbl 0916.33006Marcellán, F.; Salto, L. 19 1998 When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials? Zbl 1187.33004Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa 19 2010 Second structure relation for \(q\)-semiclassical polynomials of the Hahn Tableau. Zbl 1113.33022Costas-Santos, R. S.; Marcellán, F. 19 2007 Polynomial perturbations of bilinear functionals and Hessenberg matrices. Zbl 1134.42015Bueno, M. I.; Marcellán, F. 18 2006 On linearly related orthogonal polynomials and their functionals. Zbl 1029.42014Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa 18 2003 Christoffel transforms and Hermitian linear functionals. Zbl 1121.42017Marcellán, Francisco; Hernández, Javier 18 2005 Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle. Zbl 0945.33008Foulquié Moreno, Ana; Marcellán, Francisco; Pan, K. 18 1999 Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation. Zbl 0886.33007Aptekarev, A. I.; Branquinho, A.; Marcellán, F. 18 1997 Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions. Zbl 1089.33005Álvarez-Nodarse, R.; Arvesú, J.; Marcellán, F. 17 2004 On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006Marcellán, F.; Petronilho, J. 17 1994 Generating new classes of orthogonal polynomials. Zbl 0864.33008Branquinho, Amílcar; Marcellán, Francisco 16 1996 Christoffel transformations for matrix orthogonal polynomials in the real line and the non-abelian 2D Toda lattice hierarchy. Zbl 1405.42047Álvarez-Fernández, Carlos; Ariznabarreta, Gerardo; García-Ardila, Juan Carlos; Mañas, Manuel; Marcellán, Francisco 15 2017 On zeros of Sobolev-type orthogonal polynomials. Zbl 0768.33008Marcellán, F.; Pérez, T. E.; Piñar, M. A. 15 1992 Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc. Zbl 0991.42018Branquinho, Amilcar; Foulquié Moreno, Ana; Marcellán, Francisco 15 2002 \(\Delta\)-coherent pairs and orthogonal polynomials of a discrete variable. Zbl 1047.42019Area, I.; Godoy, E.; Marcellán, F. 15 2003 Orthogonal polynomials on the unit circle: Symmetrization and quadratic decomposition. Zbl 0721.42015Marcellán, F.; Sansigre, G. 14 1991 Perturbations on the subdiagonals of Toeplitz matrices. Zbl 1208.42010Castillo, K.; Garza, L.; Marcellán, F. 14 2011 Complex path integral representation for semiclassical linear functionals. Zbl 0920.42016Marcellán, F.; Rocha, I. A. 14 1998 Orthogonal polynomials and measures on the unit circle. The geronimus transformations. Zbl 1179.42020Garza, L.; Hernández, J.; Marcellán, F. 14 2010 A class of matrix orthogonal polynomials on the unit circle. Zbl 0681.33013Español, Francisco Marcellán; González, Isabel Rodríguez 14 1989 \(q\)-classical orthogonal polynomials: A general difference calculus approach. Zbl 1204.33011Costas-Santos, R. S.; Marcellán, F. 13 2010 Geronimus spectral transforms and measures on the complex plane. Zbl 1149.42019Marcellán, F.; Hernández, J. 13 2008 Classification of all \(\Delta\)-coherent pairs. Zbl 0972.42017Area, I.; Godoy, E.; Marcellán, F. 13 2000 A note on the Geronimus transformation and Sobolev orthogonal polynomials. Zbl 1306.42043Derevyagin, Maxim; Marcellán, Francisco 13 2014 Discrete semiclassical orthogonal polynomials of class one. Zbl 1297.33010Dominici, Diego; Marcellán, Francisco 13 2014 Orthogonal polynomials associated with an inverse quadratic spectral transform. Zbl 1217.42050Alfaro, Manuel; Peña, Ana; Rezola, M. Luisa; Marcellán, Francisco 12 2011 Perturbations of Laguerre-Hahn linear functionals. Zbl 0946.42013Marcellán, F.; Prianes, E. 12 1999 Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials. Zbl 1202.33015Dimitrov, Dimitar K.; Marcellán, Francisco; Rafaeli, Fernando R. 12 2010 Asymptotics for Sobolev orthogonal polynomials for exponential weights. Zbl 1105.42016Geronimo, J. S.; Lubinsky, D. S.; Marcellan, F. 12 2005 Orthogonal polynomials of Sobolev type on the unit circle. Zbl 0822.42013Cachafeiro, Alicia; Marcellán, Francisco 12 1994 Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008Ronveaux, A.; Marcellan, F. 12 1989 Estimates for Jacobi-Sobolev type orthogonal polynomials. Zbl 0888.33006Alfaro, M.; Marcellán, F.; Rezola, M. L. 12 1997 On semiclassical linear functionals: Integral representations. Zbl 0829.33006Marcellán, F.; Rocha, I. A. 12 1995 Difference equation for modifications of Meixner polynomials. Zbl 0834.39005Álvarez-Nodarse, R.; Marcellán, F. 12 1995 Companion linear functionals and Sobolev inner products: a case study. Zbl 1087.42020Delgado, Antonia M.; Marcellán, Francisco 12 2004 Multiple Geronimus transformations. Zbl 1295.42007Derevyagin, M.; García-Ardila, J. C.; Marcellán, F. 12 2014 Orthogonal polynomials and quadratic transformations. Zbl 0936.42012Marcellán, F.; Petronilho, J. 11 1999 Jacobi-Sobolev-type orthogonal polynomials: Second-order differential equation and zeros. Zbl 0924.33006Arvesú, J.; Álvarez-Nodarse, R.; Marcellán, F.; Pan, K. 11 1998 WKB approximation and Krall-type orthogonal polynomials. Zbl 0913.33002Álvarez-Nodarse, R.; Marcellán, F.; Petronilho, J. 11 1998 Verblunsky parameters and linear spectral transformations. Zbl 1176.42021Garza, L.; Marcellán, F. 11 2009 \((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials. Zbl 1321.33015de Jesus, M. N.; Marcellán, F.; Petronilho, J.; Pinzón-Cortés, N. C. 11 2014 An asymptotic result for Laguerre-Sobolev orthogonal polynomials. Zbl 0886.33008Marcellán, Francisco; Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A. 11 1997 On Fourier series of a discrete Jacobi–Sobolev inner product. Zbl 1019.42014Marcellán, F.; Osilenker, B. P.; Rocha, I. A. 11 2002 Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product. Zbl 1014.42019Rocha, I. A.; Marcellán, F.; Salto, L. 11 2003 Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials. Zbl 1247.33014Dueñas, Herbert; Huertas, Edmundo J.; Marcellán, Francisco 11 2012 Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials. Zbl 0983.42013Marcellán, Francisco; Moreno-Balcázar, Juan J. 11 2001 On orthogonal polynomials with respect to certain discrete Sobolev inner product. Zbl 1259.33023Marcellán, Francisco; Zejnullahu, Ramadan; Fejzullahu, Bujar; Huertas, Edmundo 10 2012 Sobolev-type orthogonal polynomials on the unit circle. Zbl 1033.42025Marcellán, F.; Moral, L. 10 2002 The Laguerre-Sobolev-type orthogonal polynomials. Zbl 1190.33013Dueñas, Herbert; Marcellán, Francisco 10 2010 On kernel polynomials and self-perturbation of orthogonal polynomials. Zbl 1034.42022Kwon, K. H.; Lee, D. W.; Marcellán, F.; Park, S. B. 10 2001 Second structure relation for semiclassical orthogonal polynomials. Zbl 1125.33008Marcellán, Francisco; Sfaxi, Ridha 10 2007 Orthogonal polynomials associated with some modifications of a linear functional. Zbl 0807.39013Belmehdi, Saïd; Marcellan, Francisco 10 1992 Inner products involving differences: The Meixner-Sobolev polynomials. Zbl 0948.33004Area, I.; Godoy, E.; Marcellán, F. 10 2000 On polynomials orthogonal with respect to Sobolev inner product on the unit circle. Zbl 0897.42013Li, Xin; Marcellan, Francisco 10 1996 What is beyond coherent pairs of orthogonal polynomials? Zbl 0855.42016Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A. 10 1995 Orthogonal polynomials on the unit circle and their derivatives. Zbl 0734.42015Marcellán, Francisco; Maroni, Pascal 9 1991 Estimates for polynomials orthogonal with respect to some Gegenbauer-Sobolev type inner product. Zbl 0935.42014Foulquié Moreno, Ana; Marcellán, Francisco; Osilenker, Boris P. 9 1999 Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives. Zbl 1242.42021Marcellán, Francisco; Rafaeli, Fernando R. 9 2011 Gegenbauer-Sobolev orthogonal polynomials. Zbl 0815.33008Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. 9 1994 A generalization of the classical Laguerre polynomials. Zbl 0843.33002Álvarez-Nodarse, R.; Marcellán, F. 9 1995 On the properties for modifications of classical orthogonal polynomials of discrete variables. Zbl 0865.42023Álvarez-Nodarse, R.; García, A. G.; Marcellán, F. 9 1995 Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients. Zbl 1005.42014Yakhlef, Hossain O.; Marcellán, Francisco; Piñar, Miguel A. 9 2001 Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case. Zbl 1213.33018Dueñas, Herbert; Marcellán, Francisco 8 2010 \(q\)-coherent pairs and \(q\)-orthogonal polynomials. Zbl 1020.33005Area, I.; Godoy, E.; Marcellán, F. 8 2002 Sobolev orthogonal polynomials on product domains. Zbl 1312.33039Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan 8 2015 On asymptotic properties of Freud–Sobolev orthogonal polynomials. Zbl 1043.33005Cachafeiro, Alicia; Marcellán, Francisco; Moreno-Balcázar, Juan J. 8 2003 Orthogonal polynomials on the unit circle: distribution of zeros. Zbl 0745.42013Marcellán, Francisco; Godoy, Eduardo Paciência 8 1991 Coherent pairs of linear functionals on the unit circle. Zbl 1149.42013Branquinho, A.; Foulquié Moreno, A.; Marcellán, F.; Rebocho, M. N. 8 2008 On rational transformations of linear functionals: direct problem. Zbl 1066.33008Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa 8 2004 Modifications of Toeplitz matrices: Jump functions. Zbl 0804.42012Cachafeiro, Alicia; Marcellan, Francisco 8 1993 Gaussian quadrature formulae on the unit circle. Zbl 1013.41015Daruis, Leyla; González-Vera, Pablo; Marcellán, Francisco 8 2002 Darboux transformations for CMV matrices. Zbl 1345.42029Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. 8 2016 Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials. Zbl 0984.42016Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. 8 2000 Orthogonal polynomials and linear functionals. An algebraic approach and applications. Zbl 1475.33001García-Ardila, Juan Carlos; Marcellán, Francisco; Marriaga, Misael E. 2 2021 Discrete-continuous Jacobi-Sobolev spaces and Fourier series. Zbl 1462.42047Díaz-González, Abel; Marcellán, Francisco; Pijeira-Cabrera, Héctor; Urbina, Wilfredo 1 2021 Matrix biorthogonal polynomials on the real line: Geronimus transformations. Zbl 1467.42040Ariznabarreta, Gerardo; García-Ardila, Juan C.; Mañas, Manuel; Marcellán, Francisco 3 2019 Linear combinations of \(d\)-orthogonal polynomials. Zbl 1427.42032Marcellán, Francisco; Saib, Abdessadek 3 2019 Some new identities involving Sheffer-Appell polynomial sequences via matrix approach. Zbl 1439.11086Marcellán, Francisco; Shadab, Mohd; Jabee, Saima 2 2019 Coherent pairs of bivariate orthogonal polynomials. Zbl 1423.33020Marcellán, Francisco; Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. 1 2019 Szegő transformation and zeros of analytic perturbations of Chebyshev weights. Zbl 1404.30005Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 1 2019 Non-abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations. Zbl 1401.37073Ariznabarreta, Gerardo; García-Ardila, Juan C; Mañas, Manuel; Marcellán, Francisco 6 2018 A canonical Geronimus transformation for matrix orthogonal polynomials. Zbl 1391.42031García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 4 2018 Matrix Pearson equations satisfied by Koornwinder weights in two variables. Zbl 1403.42031Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. 4 2018 Weighted Sobolev spaces: Markov-type inequalities and duality. Zbl 1404.33009Marcellán, Francisco; Quintana, Yamilet; Rodríguez, José M. 3 2018 Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs. Zbl 1398.33006Dueñas Ruiz, Herbert; Marcellán Español, Francisco; Molano Molano, Alejandro 3 2018 On bivariate classical orthogonal polynomials. Zbl 1428.33025Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. 2 2018 Some external properties of the roots of orthogonal polynomials. Zbl 1403.65022Beltrán, Carlos; Marcellán, Francisco; Martínez-Finkelshtein, Andrei 1 2018 Christoffel transformations for matrix orthogonal polynomials in the real line and the non-abelian 2D Toda lattice hierarchy. Zbl 1405.42047Álvarez-Fernández, Carlos; Ariznabarreta, Gerardo; García-Ardila, Juan Carlos; Mañas, Manuel; Marcellán, Francisco 15 2017 Asymptotics for varying discrete Sobolev orthogonal polynomials. Zbl 1426.33034Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. 5 2017 Quadratures and integral transforms arising from generating functions. Zbl 1411.65038Campos, Rafael G.; Marcellán, Francisco 2 2017 Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind. Zbl 1375.42042Marcellán, F.; Sri Ranga, A. 2 2017 What is \(\ldots\) a Sobolev orthogonal polynomial? Zbl 1372.33001Marcellán, Francisco; Moreno-Balcázar, Juan J. 2 2017 Darboux transformations for CMV matrices. Zbl 1345.42029Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. 8 2016 Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials. Zbl 1334.33029Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. 6 2016 Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle. Zbl 1350.42048Castillo, K.; Marcellán, F.; Rebocho, M. N. 6 2016 Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case. Zbl 1359.42013Yakhlef, Hossain O.; Marcellán, Francisco 5 2016 On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight. Zbl 1410.33024Arceo, Alejandro; Huertas, Edmundo J.; Marcellán, Francisco 5 2016 An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line. Zbl 1352.42036García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 4 2016 Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective. Zbl 1342.42026Garza, Luis E.; Marcellán, Francisco 1 2016 On Sobolev orthogonal polynomials. Zbl 1351.33011Marcellán, Francisco; Xu, Yuan 60 2015 Sobolev orthogonal polynomials on product domains. Zbl 1312.33039Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan 8 2015 On co-polynomials on the real line. Zbl 1331.33016Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge 8 2015 A matrix approach for the semiclassical and coherent orthogonal polynomials. Zbl 1338.42033Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 6 2015 OPUC, CMV matrices and perturbations of measures supported on the unit circle. Zbl 1323.42024Marcellán, Francisco; Shayanfar, Nikta 3 2015 On Alpert multiwavelets. Zbl 1322.42042Geronimo, Jeffrey S.; Marcellán, Francisco 2 2015 A note on the Geronimus transformation and Sobolev orthogonal polynomials. Zbl 1306.42043Derevyagin, Maxim; Marcellán, Francisco 13 2014 Discrete semiclassical orthogonal polynomials of class one. Zbl 1297.33010Dominici, Diego; Marcellán, Francisco 13 2014 Multiple Geronimus transformations. Zbl 1295.42007Derevyagin, M.; García-Ardila, J. C.; Marcellán, F. 12 2014 \((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials. Zbl 1321.33015de Jesus, M. N.; Marcellán, F.; Petronilho, J.; Pinzón-Cortés, N. C. 11 2014 On an inverse problem for a linear combination of orthogonal polynomials. Zbl 1319.42023Marcellán, Francisco; Varma, Serhan 6 2014 A finite class of orthogonal functions generated by Routh-Romanovski polynomials. Zbl 1288.33001Masjed-Jamei, Mohammad; Marcellán, Francisco; Huertas, Edmundo J. 6 2014 (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices. Zbl 1410.42025Marcellán, Francisco; Pinzón-Cortés, Natalia Camila 3 2014 Generalized coherent pairs on the unit circle and Sobolev orthogonal polynomials. Zbl 1349.42055Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2014 Sieved para-orthogonal polynomials on the unit circle. Zbl 1335.33004Marcellán, F.; Sri Ranga, A. 2 2014 The structure of iterative methods for symmetric linear discrete ill-posed problems. Zbl 1290.65034Dykes, L.; Marcellán, F.; Reichel, L. 2 2014 On a direct Uvarov-Chihara problem and some extensions. Zbl 1435.42018Castillo, K.; Garza, L.; Marcellán, F. 1 2014 Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime. Zbl 1334.33025Huertas, Edmundo J.; Marcellán, Francisco; Pérez-Valero, M. Francisca; Quintana, Yamilet 1 2014 Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product. Zbl 1309.42035Marcellán, Francisco; Pérez-Valero, M. Francisca; Quintana, Yamilet; Urieles, Alejandro 1 2014 A Cohen type inequality for Laguerre-Sobolev expansions with a mass point outside their oscillatory regime. Zbl 1312.42032Huertas Cejudo, Edmundo José; Marcellán Español, Francisco; Pérez Valero, María Francisca; Quintana, Yamilet 1 2014 An electrostatic model for zeros of perturbed Laguerre polynomials. Zbl 1301.33012Huertas, Edmundo J.; Marcellán, Francisco; Pijeira Cabrera, Héctor 1 2014 Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials. Zbl 1300.33013Gómez-Ullate, David; Marcellán, Francisco; Milson, Robert 23 2013 On the Pollard decomposition method applied to some Jacobi-Sobolev expansions. Zbl 1283.42042Marcellán, Francisco; Quintana, Yamilet; Urieles, Alejandro 7 2013 Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator. Zbl 1279.33012Aloui, Baghdadi; Marcellán, Francisco; Sfaxi, Ridha 5 2013 Strong and ratio asymptotics for Laguerre polynomials revisited. Zbl 1285.33009Deaño, Alfredo; Huertas, Edmundo J.; Marcellán, Francisco 5 2013 Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. Zbl 1273.42025Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2013 On \(W^{1,p}\)-convergence of Fourier-Sobolev expansions. Zbl 1261.42044Marcellán, Francisco; Quintana, Yamilet; Urieles, Alejandro 3 2013 Varying discrete Laguerre-Sobolev orthogonal polynomials: asymptotic behavior and zeros. Zbl 1329.33012Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. 3 2013 \((1,1)\)-\(D_{\omega}\)-coherent pairs. Zbl 1280.42021Marcellán, F.; Pinzón-Cortés, N. C. 3 2013 Generators of rational spectral transformations for nontrivial \(\mathcal{C}\)-functions. Zbl 1278.42034Castillo, Kenier; Marcellán, Francisco 2 2013 Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation. Zbl 1278.42035Marcellán, Francisco; Mendes, Ana; Pijeira, Héctor 2 2013 Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality. Zbl 1283.33006Fejzullahu, B. Xh.; Marcellán, F.; Moreno-Balcázar, J. J. 2 2013 \((1,1)\)-coherent pairs on the unit circle. Zbl 1298.42030Garza, Luis; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2013 A Cohen type inequality for Gegenbauer-Sobolev expansions. Zbl 1266.42066Fejzullahu, Bujar Xh.; Marcellán, Francisco 1 2013 On computational aspects of discrete Sobolev inner products on the unit circle. Zbl 1329.65086Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco 1 2013 Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials. Zbl 1247.33014Dueñas, Herbert; Huertas, Edmundo J.; Marcellán, Francisco 11 2012 On orthogonal polynomials with respect to certain discrete Sobolev inner product. Zbl 1259.33023Marcellán, Francisco; Zejnullahu, Ramadan; Fejzullahu, Bujar; Huertas, Edmundo 10 2012 Higher order coherent pairs. Zbl 1262.42009Marcellán, Francisco; Pinzón, Natalia Camila 6 2012 Zeros of orthogonal polynomials generated by canonical perturbations of measures. Zbl 1246.33004Huertas, Edmundo J.; Marcellán, Francisco; Rafaeli, Fernando R. 6 2012 Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation. Zbl 1250.05016Chammam, Wathek; Marcellán, Francisco; Sfaxi, Ridha 5 2012 Zeros of Sobolev orthogonal polynomials on the unit circle. Zbl 1254.33012Castillo, K.; Garza, L. E.; Marcellán, F. 5 2012 Relative asymptotics for orthogonal matrix polynomials. Zbl 1262.42006Branquinho, A.; Marcellán, F.; Mendes, A. 4 2012 Quadratic decomposition of a family of \(H_q\)-semiclassical orthogonal polynomial sequences. Zbl 1268.42042Bouras, B.; Marcellan, F. 4 2012 (1, 1)-\(q\)-coherent pairs. Zbl 1245.42022Marcellán, Francisco; Pinzón-Cortés, Natalia C. 4 2012 On semiclassical linear functionals of class \(s=2\): classification and integral representations. Zbl 1250.42081Marcellán, F.; Sghaier, M.; Zaatra, M. 4 2012 A non-symmetric second-degree semi-classical form of class one. 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Zbl 1213.33017Dueńas, Herbert; Huertas, Edmundo J.; Marcellán, Francisco 5 2011 A new linear spectral transformation associated with derivatives of Dirac linear functionals. Zbl 1241.42021Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2011 The holonomic equation of the Laguerre-Sobolev-type orthogonal polynomials: a non-diagonal case. Zbl 1219.42012Dueñas, Herbert; Marcellán, Francisco 2 2011 Density of polynomials in some \(L^{2}\) spaces on radial rays in the complex plane. Zbl 1222.46024Marcellán, F.; Zagorodnyuk, S. M. 1 2011 Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures. Zbl 1222.33012Fejzullahu, Bujar Xh.; Marcellán, Francisco 1 2011 Lowering operators associated with D-Laguerre-Hahn polynomials. Zbl 1234.33014Marcellán, Francisco; Sfaxi, Ridha 1 2011 When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials? Zbl 1187.33004Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa 19 2010 Orthogonal polynomials and measures on the unit circle. The geronimus transformations. Zbl 1179.42020Garza, L.; Hernández, J.; Marcellán, F. 14 2010 \(q\)-classical orthogonal polynomials: A general difference calculus approach. Zbl 1204.33011Costas-Santos, R. S.; Marcellán, F. 13 2010 Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials. Zbl 1202.33015Dimitrov, Dimitar K.; Marcellán, Francisco; Rafaeli, Fernando R. 12 2010 The Laguerre-Sobolev-type orthogonal polynomials. Zbl 1190.33013Dueñas, Herbert; Marcellán, Francisco 10 2010 Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case. Zbl 1213.33018Dueñas, Herbert; Marcellán, Francisco 8 2010 Quadratic decomposition of a Laguerre-Hahn polynomial sequence. I. Zbl 1225.42016Bouras, B.; Marcellan, F. 5 2010 Vector interpretation of the matrix orthogonality on the real line. Zbl 1219.33007Branquinho, A.; Marcellán, F.; Mendes, A. 4 2010 A note on monotonicity of zeros of generalized Hermite-Sobolev-type orthogonal polynomials. Zbl 1205.42026Marcellán, Francisco; Rafaeli, Fernando R. 2 2010 Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product. Zbl 1203.33007Fejzullahu, Bujar Xh.; Marcellán, Francisco 2 2010 Recent trends on two variable orthogonal polynomials. Zbl 1193.42098Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. 2 2010 Orthogonal polynomials and second-order pseudo-spectral linear differential equations. Zbl 1197.42015Marcellán, Francisco; Sfaxi, Ridha 1 2010 A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product. Zbl 1207.42022Fejzullahu, Bujar Xh.; Marcellán, Francisco 1 2010 Linear spectral transformations, Hessenberg matrices, and orthogonal polynomials. Zbl 1470.42050Castillo, Kenier; Garza, Luis; Marcellán, Francisco 1 2010 Verblunsky parameters and linear spectral transformations. Zbl 1176.42021Garza, L.; Marcellán, F. 11 2009 A Cohen type inequality for Laguerre-Sobolev expansions. Zbl 1160.42312Fejzullahu, Bujar Xh.; Marcellán, Francisco 5 2009 Szegő transformations and rational spectral transformations for associated polynomials. Zbl 1174.42029Garza, L.; Marcellán, F. 5 2009 ...and 173 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 646 Authors 182 Marcellán Español, Francisco 34 Piñar, Miguel A. 32 Moreno-Balcázar, Juan José 30 Pérez, Teresa E. 26 Álvarez-Nodarse, Renato 25 Ronveaux, André 23 Branquinho, Amílcar José Pinto Lopes 23 Castillo, Kenier 23 Godoy, Eduardo Paciência 22 Garza, Luis E. 21 Area, Iván 21 Petronilho, José C. 20 Pijeira-Cabrera, Héctor 19 Kwon, Kil Hyun 18 Sghaier, Mabrouk 17 Cachafeiro, Alicia 14 Foupouagnigni, Mama 14 Martínez-Finkelshtein, Andrei 14 Rezola, María Luisa 13 Alfaro García, Manuel 13 Fernández, Lidia 13 Rebocho, M. N. 12 Derevyagin, Maxim S. 12 Dueñas, Herbert 12 García-Ardila, Juan Carlos 12 Huertas Cejudo, Edmundo José 12 Littlejohn, Lance L. 12 Maroni, Pascal 12 Ranga, A. Sri 12 Zhedanov, Alexei S. 11 Berriochoa, Elías 11 Dominici, Diego Ernesto 11 Fejzullahu, Bujar Xh. 11 Sharapudinov, Idris Idrisovich 11 Van Assche, Walter 11 Zarzo, Alejandro 10 Aptekarev, Alexander Ivanovich 10 Cantero, María José 10 Duran, Antonio J. 10 López Lagomasino, Guillermo Tomás 10 Mañas, Manuel 10 Moral, Leandro 10 Peña, Ana 10 Rafaeli, Fernando Rodrigo 9 Bracciali, Cleonice Fátima 9 Delgado, Antonia M. 9 Foulquié Moreno, Ana Pilar 9 Jordaan, Kerstin 9 Milson, Robert 9 Rodríguez García, José Manuel 9 Zaatra, Mohamed 8 Bouras, Belgacem 8 Costas-Santos, Roberto S. 8 Gómez-Ullate, David 8 Meijer, Henk G. 8 Osilenker, Boris P. 8 Simanek, Brian Z. 8 Sitthiwirattham, Thanin 8 Velázquez, Luis 7 Bertola, Marco 7 da Fonseca, Carlos Martins 7 Filipuk, Galina V. 7 Koepf, Wolfram A. 7 Mañas-Mañas, Juan F. 7 Pinzón-Cortés, Natalia Camila 7 Quintana, Yamilet 7 Sfaxi, Ridha 7 Vinet, Luc 7 Xu, Yuan 7 Zagorodnyuk, Sergey Mihaylovich 6 Aloui, Baghdadi 6 Ariznabarreta, Gerardo 6 Bavinck, Herman 6 Draux, André 6 González-Vera, Pablo 6 Lewanowicz, Stanisław 6 Marriaga, Misael E. 6 Patanarapeelert, Nichaphat 6 Salto, L. 5 Arvesú, Jorge 5 Atia, Mohamed Jalel 5 Băleanu, Dumitru I. 5 Bueno, María Isabel 5 Bultheel, Adhemar François 5 Chammam, Wathek 5 da Rocha, Zélia 5 de Jesus, M. N. 5 Fuentes, Edinson 5 García-Amor, José M. 5 Hernández, Javier 5 Li, Huiyuan 5 Mboutngam, Salifou 5 Peherstorfer, Franz 5 Portilla, Ana 5 Touris, Eva 5 Wang, Zhongqing 4 Ben Cheikh, Youssèf 4 Dehesa, Jesús S. 4 Dette, Holger 4 Díaz-González, Abel ...and 546 more Authors all top 5 Cited in 163 Serials 159 Journal of Computational and Applied Mathematics 91 Journal of Approximation Theory 63 Integral Transforms and Special Functions 57 Journal of Mathematical Analysis and Applications 41 Journal of Difference Equations and Applications 38 Applied Mathematics and Computation 32 Linear Algebra and its Applications 30 Numerical Algorithms 17 Proceedings of the American Mathematical Society 15 Mediterranean Journal of Mathematics 13 Applied Numerical Mathematics 13 Indagationes Mathematicae. New Series 11 Constructive Approximation 11 SIGMA. 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