Antonio J. Durán

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generalized Bell polynomials	2024	Antonio J. Durán
+	Asymptotic for the rightmost zeros of Bell and Eulerian polynomials	2024	Antonio J. Durán
+ PDF Chat	Generalized Bell polynomials	2024	Antonio J. Durán
+ PDF Chat	Brenke polynomials with real zeros and the Riemann Hypothesis	2024	Antonio J. Durán
+	How to compute multivariate Bessel expansions	2024	Antonio J. Durán Mario Pérez Juan Malumbres
+ PDF Chat	Asymptotic for the rightmost zeros of Bell and Eulerian polynomials	2024	Antonio J. Durán
+	Moment problems associated to the Dunkl factorial	2024	Antonio J. Durán Alejandro Gil Asensi Juan Malumbres
+ PDF Chat	Summing Sneddon–Bessel series explicitly	2024	Antonio J. Durán Mario Pérez Juan Malumbres
+	Exceptional Jacobi polynomials which are deformations of Jacobi polynomials	2023	Antonio J. Durán
+	The algebra of difference operators associated to Meixner type polynomials	2022	Antonio J. Durán Mónica Rueda
+	Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	2022	Antonio J. Durán
+ PDF Chat	Bispectral Jacobi type polynomials	2022	Antonio J. Durán Manuel D. de la Iglesia
+	Summing Sneddon-Bessel series explicitly	2022	Antonio J. Durán M. R. Pérez Juan Malumbres
+ PDF Chat	New examples of Krall–Meixner and Krall–Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials	2021	Antonio J. Durán
+ PDF Chat	Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	2021	Antonio J. Durán
+	A method for summing Bessel series and a couple of illustrative examples	2021	Antonio J. Durán Mario Pérez Juan Malumbres
+	Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials	2021	Antonio J. Durán
+	Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	2021	Antonio J. Durán
+	Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	2021	Antonio J. Durán
+	Bispectrality of Meixner type polynomials	2021	Antonio J. Durán Mónica Rueda
+	New examples of Krall-Meixner and Krall-Hahn polynomials, with applications to the construction of exceptional Meixner and Laguerre polynomials	2021	Antonio J. Durán
+	Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	2021	Antonio J. Durán
+	Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters	2021	Antonio J. Durán
+ PDF Chat	On the properties of zeros of Bessel series in the real line	2020	Antonio J. Durán Mario Pérez Juan Malumbres
+	Bispectral Jacobi type polynomials	2020	Antonio J. Durán Manuel D. de la Iglesia
+	Exceptional Orthogonal Polynomials via Krall Discrete Polynomials	2020	Antonio J. Durán
+	The algebra of recurrence relations for exceptional Laguerre and Jacobi polynomials	2020	Antonio J. Durán
+	A proof of the Veselov Conjecture for segments	2020	Antonio J. Durán
+	Bispectral Jacobi type polynomials	2020	Antonio J. Durán Manuel D. de la Iglesia
+	Corrigendum to the papers on Exceptional orthogonal polynomials: J. Approx. Theory 182 (2014) 29–58, 184 (2014) 176–208 and 214 (2017) 9–48	2019	Antonio J. Durán
+ PDF Chat	Bispectral Laguerre type polynomials	2019	Antonio J. Durán Manuel D. de la Iglesia
+	Bispectral Laguerre type polynomials	2019	Antonio J. Durán Manuel D. de la Iglesia
+	Fourier–Dunkl system of the second kind and Euler–Dunkl polynomials	2019	Antonio J. Durán Mario Pérez Juan Malumbres
+	Bispectrality of Charlier type polynomials	2019	Antonio J. Durán
+	Invariance properties of Wronskian type determinants of classical and classical discrete orthogonal polynomials	2019	Guillermo P. Curbera Antonio J. Durán
+	Bispectral Laguerre type polynomials	2019	Antonio J. Durán Manuel D. de la Iglesia
+ PDF Chat	On difference operators for symmetric Krall-Hahn polynomials	2018	Antonio J. Durán Manuel D. de la Iglesia
+	The algebras of difference operators associated to Krall–Charlier orthogonal polynomials	2018	Antonio J. Durán
+	Bernoulli–Dunkl and Apostol–Euler–Dunkl polynomials with applications to series involving zeros of Bessel functions	2018	Óscar Ciaurri Antonio J. Durán Mario Pérez Juan Malumbres
+ PDF Chat	Differential equations for discrete Jacobi–Sobolev orthogonal polynomials	2018	Antonio J. Durán Manuel D. de la Iglesia
+	On difference operators for symmetric Krall-Hahn polynomials	2018	Antonio J. Durán Manuel D. de la Iglesia
+	On difference operators for symmetric Krall-Hahn polynomials	2018	Antonio J. Durán Manuel D. de la Iglesia
+	From Krall discrete orthogonal polynomials to Krall polynomials	2017	Antonio J. Durán
+	Exceptional Hahn and Jacobi orthogonal polynomials	2016	Antonio J. Durán
+	Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions	2016	Óscar Ciaurri Antonio J. Durán Mario Pérez Juan Malumbres
+	From Krall discrete orthogonal polynomials to Krall polynomials	2016	Antonio J. Durán
+	Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers	2016	Guillermo P. Curbera Antonio J. Durán
+	Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions	2016	Óscar Ciaurri Antonio J. Durán M. R. Pérez Juan Malumbres
+	From Krall discrete orthogonal polynomials to Krall polynomials	2016	Antonio J. Durán
+	Exceptional Hahn and Jacobi orthogonal polynomials	2015	Antonio J. Durán
+ PDF Chat	Casorati type determinants of some $\mathfrak {q}$-classical orthogonal polynomials	2015	Antonio J. Durán J. Arvesú
+ PDF Chat	Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials	2015	Antonio J. Durán
+ PDF Chat	Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials	2015	Antonio J. Durán Mario Pérez Juan Malumbres
+	Differential equations for discrete Jacobi-Sobolev orthogonal polynomials	2015	Antonio J. Durán Manuel D. de la Iglesia
+	Exceptional Hahn and Jacobi orthogonal polynomials	2015	Antonio J. Durán
+	Admissibility condition for exceptional Laguerre polynomials	2014	Antonio J. Durán Mario Pérez
+	Using <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">D</mml:mi></mml:math>-operators to construct orthogonal polynomials satisfying higher order q-difference equations	2014	R. Álvarez-Nodarse Antonio J. Durán
+	Constructing Krall–Hahn orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia
+	Constructing bispectral dual Hahn polynomials	2014	Antonio J. Durán
+	The Misfortunes of a Trio of Mathematicians Using Computer Algebra Systems. Can We Trust in Them?	2014	Antonio J. Durán Mario Pérez Juan Malumbres
+	Admissibility condition for exceptional Laguerre polynomials	2014	Antonio J. Durán Mario Pérez
+	Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials	2014	Antonio J. Durán
+ PDF Chat	Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk	2014	Antonio J. Durán Manuel D. de la Iglesia
+	Constructing Krall-Hahn orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia
+	Constructing bispectral dual Hahn polynomials	2014	Antonio J. Durán
+	Rodrigues’ formulas for orthogonal matrix polynomials satisfying second-order difference equations	2014	Antonio J. Durán Vanesa Sánchez-Canales
+	Exceptional Meixner and Laguerre orthogonal polynomials	2014	Antonio J. Durán
+	Exceptional Charlier and Hermite orthogonal polynomials	2014	Antonio J. Durán
+	The convex cone of weight matrices associated to a second-order matrix difference operator	2014	Antonio J. Durán Ana M. de los Ríos
+	Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities	2014	Antonio J. Durán
+	Differential equations for discrete Laguerre–Sobolev orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia
+	Constructing bispectral dual Hahn polynomials	2014	Antonio J. Durán
+	Admissibility condition for exceptional Laguerre polynomials	2014	Antonio J. Durán M. R. Pérez
+	Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials	2014	Antonio J. Durán
+	Constructing Krall-Hahn orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia
+	Orthogonal matrix polynomials whose differences are also orthogonal	2013	Antonio J. Durán Vanesa Sánchez-Canales
+	Symmetries for Casorati determinants of classical discrete orthogonal polynomials	2013	Antonio J. Durán
+	Exceptional Meixner and Laguerre orthogonal polynomials	2013	Antonio J. Durán
+	Differential equations for discrete Laguerre-Sobolev orthogonal polynomials	2013	Antonio J. Durán Manuel D. de la Iglesia
+	Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations	2013	R. Álvarez-Nodarse Antonio J. Durán
+	Exceptional Charlier and Hermite orthogonal polynomials	2013	Antonio J. Durán
+	Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk	2013	Antonio J. Durán Manuel D. de la Iglesia
+	Using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi mathvariant="script">D</mml:mi></mml:math>-operators to construct orthogonal polynomials satisfying higher order difference or differential equations	2013	Antonio J. Durán
+	Orthogonal matrix polynomials satisfying second order difference equations	2013	R. Álvarez-Nodarse Antonio J. Durán Ana M. de los Ríos
+	Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations	2013	Antonio J. Durán
+	Misfortunes of a mathematicians' trio using Computer Algebra Systems: Can we trust?	2013	Antonio J. Durán Mario Pérez Juan Malumbres
+	Using D-operators to construct orthogonal polynomials satisfying higher order q-difference equations	2013	R. Álvarez-Nodarse Antonio J. Durán
+	Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations	2013	Antonio J. Durán
+	Exceptional Charlier and Hermite orthogonal polynomials	2013	Antonio J. Durán
+	Exceptional Meixner and Laguerre orthogonal polynomials	2013	Antonio J. Durán
+	Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk	2013	Antonio J. Durán Manuel D. de la Iglesia
+	Differential equations for discrete Laguerre-Sobolev orthogonal polynomials	2013	Antonio J. Durán Manuel D. de la Iglesia
+	Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities	2012	Antonio J. Durán
+	Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights	2012	Antonio J. Durán Nikta Shayanfar
+	Orthogonal Polynomials Satisfying Higher-Order Difference Equations	2012	Antonio J. Durán
+	The algebra of difference operators associated to a family of orthogonal polynomials	2012	Antonio J. Durán
+	Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities	2012	Antonio J. Durán
+ PDF Chat	Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits	2011	Jorge Borrego M. M. Castro Antonio J. Durán
+	A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations	2011	Antonio J. Durán
+ PDF Chat	Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations	2011	Antonio J. Durán
+	Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits	2011	Jorge Borrego M. M. Castro Antonio J. Durán
+	Fibonacci Numbers, Euler's 2-Periodic Continued Fractions and Moment Sequences	2011	Christian Berg Antonio J. Durán
+	Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits	2011	Jorge Borrego M. M. Castro Antonio J. Durán
+	Rodrigues’ Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations	2009	Antonio J. Durán
+	Fibonacci numbers, Euler's 2-periodic continued fractions and moment sequences	2009	Christian Berg Antonio J. Durán
+	Matrix differential equations and scalar polynomials satisfying higher order recursions	2008	Antonio J. Durán F. Alberto Grünbaum
+	A Method to Find Weight Matrices Having Symmetric Second-Order Differential Operators with Matrix Leading Coefficient	2008	Antonio J. Durán
+	Generating orthogonal matrix polynomials satisfying second order differential equations from a trio of triangular matrices	2008	Antonio J. Durán
+ PDF Chat	The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function	2008	Christian Berg Antonio J. Durán
+	Iteration of the rational function z-1/z and a Hausdorff moment sequence	2008	Christian Berg Antonio J. Durán
+ PDF Chat	Second-Order Differential Operators Having Several Families of Orthogonal Matrix Polynomials as Eigenfunctions	2008	Antonio J. Durán Manuel D. de la Iglesia
+	Matrix differential equations and scalar polynomials satisfying higher order recursions	2008	Antonio J. Durán F. Alberto Grünbaum
+	Iteration of the rational function z-1/z and a Hausdorff moment sequence	2008	Christian Berg Antonio J. Durán
+	Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions	2007	Antonio J. Durán Manuel D. de la Iglesia
+	Some examples of orthogonal matrix polynomials satisfying odd order differential equations	2007	Antonio J. Durán Manuel D. de la Iglesia
+	Matrix orthogonal polynomials satisfying second-order differential equations: Coping without help from group representation theory	2007	Antonio J. Durán F. Alberto Grünbaum
+	The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function	2007	Christian Berg Antonio J. Durán
+	The fixed point for a transformation of Hausdorff moment sequences and iteration of a rational function	2007	Christian Berg Antonio J. Durán
+	Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions	2007	Antonio J. Durán Manuel D. de la Iglesia
+	P A M Dirac meets M G Krein: matrix orthogonal polynomials and Dirac's equation	2006	Antonio J. Durán F. Alberto Grünbaum
+ PDF Chat	Orthogonal polynomials and analytic functions associated to positive definite matrices	2005	Christian Berg Antonio J. Durán
+ PDF Chat	Some Transformations of Hausdorff Moment Sequences and Harmonic Numbers	2005	Christian Berg Antonio J. Durán
+	Differential coefficients of orthogonal matrix polynomials	2005	Antonio J. Durán Mourad E. H. Ismail
+	Orthogonal matrix polynomials, scalar-type Rodrigues’ formulas and Pearson equations	2005	Antonio J. Durán F. Alberto Grünbaum
+	None	2005	Antonio J. Durán F. Alberto Grünbaum
+	Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, I	2004	Antonio J. Durán F. Alberto Grünbaum
+	A survey on orthogonal matrix polynomials satisfying second order differential equations	2004	Antonio J. Durán F. Alberto Grünbaum
+ PDF Chat	A transformation from Hausdorff to Stieltjes moment sequences	2004	Christian Berg Antonio J. Durán
+	None	2003	Antonio J. Durán F. Alberto Grünbaum
+	Boundedness properties for Sobolev inner products	2003	M. M. Castro Antonio J. Durán
+	Gaussian quadrature formulae for matrix weights	2002	Antonio J. Durán Beatriz Vera Polo
+	Orthogonal matrix polynomials and quadrature formulas	2002	Antonio J. Durán Emilio Defez
+	Weak convergence for orthogonal matrix polynomials	2002	Antonio J. Durán Enrique Daneri-Vias
+	Zero Location for Nonstandard Orthogonal Polynomials	2001	Antonio J. Durán Edward B. Saff
+	Ratio Asymptotics for Orthogonal Matrix Polynomials with Unbounded Recurrence Coefficients	2001	Antonio J. Durán Enrique Daneri-Vias
+	N-Extremal Matrices of Measures for an Indeterminate Matrix Moment Problem	2000	Antonio J. Durán Pedro Lopez-Rodriguez
+	Zero asymptotic behaviour for orthogonal matrix polynomials	1999	Antonio J. Durán Pedro Lopez-Rodriguez Edward B. Saff
+	Ratio Asymptotics for Orthogonal Matrix Polynomials	1999	Antonio J. Durán
+	Proceedings of the VIIIth symposium on Orthogonal polynomials and their applications	1998	Marc Goovaerts Jet Wimp L. Wuytack Toru Yamamoto Antonio J. Durán
+	The LpSpace of a Positive Definite Matrix of Measures and Density of Matrix Polynomials inL1	1997	Antonio J. Durán Pedro Lopez-Rodriguez
+ PDF Chat	Density Questions for the Truncated Matrix Moment Problem	1997	Antonio J. Durán Pedro Lopez-Rodriguez
+	Ratio Asymptotics and Quadrature Formulas	1997	Antonio J. Durán
+ PDF Chat	Matrix Inner Product Having a Matrix Symmetric Second Order Differential Operator	1997	Antonio J. Durán
+	Ratio asymptotics and quadrature formulas	1997	Antonio J. Durán
+ PDF Chat	Measures with finite index of determinacy or a mathematical model for Dr. Jekyll and Mr. Hyde	1997	Christian Berg Antonio J. Durán
+	The Hausdorff Moment Problem with Complex Exponents and a Müntz-Szasz Theorem for Distributions	1997	Antonio J. Durán
+ PDF Chat	Markov's Theorem for Orthogonal Matrix Polynomials	1996	Antonio J. Durán
+ PDF Chat	Orthogonal Polynomials, $L^2$-Spaces and Entire Functions.	1996	Christian Berg Antonio J. Durán
+	When Does a Discrete Differential Perturbation of a Sequence of Orthonormal Polynomials Belong tol2?	1996	Christian Berg Antonio J. Durán
+	Orthogonal Matrix Polynomials: Zeros and Blumenthal's Theorem	1996	Antonio J. Durán Pedro Lopez-Rodriguez
+ PDF Chat	The Index of Determinacy for Measures and the ℓ 2 -Norm of Orthonormal Polynomials	1995	Christian Berg Antonio J. Durán
+ PDF Chat	Orthogonal matrix polynomials and higher-order recurrence relations	1995	Antonio J. Durán Walter Van Assche
+ PDF Chat	On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures	1995	Antonio J. Durán
+ PDF Chat	The index of determinacy for measures and the 𝑙²-norm of orthonormal polynomials	1995	Christian Berg Antonio J. Durán
+	Orthogonal matrix polynomials and higher order recurrence relations	1993	Antonio J. Durán Walter Van Assche
+	Laguerre Expansions of Gel′fand-Shilov Spaces	1993	Antonio J. Durán
+	A Generalization of Favard′s Theorem for Polynomials Satisfying a Recurrence Relation	1993	Antonio J. Durán
+ PDF Chat	Functions with Given Moments and Weight Functions for Orthogonal Polynomials	1993	Antonio J. Durán
+	Orthogonal matrix polynomials and higher order recurrence relations	1993	Antonio J. Durán Walter Van Assche
+	Gelfand-Shilov spaces for the Hankel transform	1992	Antonio J. Durán
+	The Stieltjes Moment Problem with Complex Exponents	1992	Antonio J. Durán
+	The Analytic Functionals in the Lower Half Plane as a Gel'fand‐Shilov Space	1991	Antonio J. Durán
+ PDF Chat	A bound on the Laguerre polynomials	1991	Antonio J. Durán
+ PDF Chat	On Hankel Transform	1990	Antonio J. Durán
+	Laguerre expansions of tempered distributions and generalized functions	1990	Antonio J. Durán
+ PDF Chat	On Hankel transform	1990	Antonio J. Durán
+ PDF Chat	Some results about the space $A^{-\infty}$ of analytic functions.	1990	Juan Arias de Reyna Antonio J. Durán
+ PDF Chat	The Stieltjes Moments Problem for Rapidly Decreasing Functions	1989	Antonio J. Durán
+ PDF Chat	The Stieltjes moments problem for rapidly decreasing functions	1989	Antonio J. Durán

Common Coauthors

Coauthor	Papers Together
Manuel D. de la Iglesia	24
Christian Berg	15
Juan Malumbres	13
Mario Pérez	12
F. Alberto Grünbaum	9
Pedro Lopez-Rodriguez	5
M. M. Castro	4
R. Álvarez-Nodarse	4
M. R. Pérez	3
Óscar Ciaurri	3
Walter Van Assche	3
Jorge Borrego	2
Guillermo P. Curbera	2
Vanesa Sánchez-Canales	2
Mónica Rueda	2
Ana M. de los Ríos	2
Enrique Daneri-Vias	2
Edward B. Saff	2
Toru Yamamoto	1
Jet Wimp	1
Alejandro Gil Asensi	1
Mourad E. H. Ismail	1
Nikta Shayanfar	1
Beatriz Vera Polo	1
Juan Arias de Reyna	1
J. Arvesú	1
Emilio Defez	1
Jorge Borrego	1
L. Wuytack	1
Marc Goovaerts	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Orthogonal Polynomials	1971		39
+	Hypergeometric Orthogonal Polynomials and Their q-Analogues	2010	Roelof Koekoek Peter Lesky René F. Swarttouw	34
+	AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS	1986	Lance L. Littlejohn	31
+	A method of constructing Krall's polynomials	1999	Alexei Zhedanov	30
+ PDF Chat	Krall–Laguerre commutative algebras of ordinary differential operators	2011	Plamen Iliev	30
+ PDF Chat	Discrete bispectral Darboux transformations from Jacobi operators	2002	F. Alberto Grünbaum Milen Yakimov	30
+	THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS	1982	Lance L. Littiejohn	30
+ PDF Chat	Differential equations for symmetric generalized ultraspherical polynomials	1994	Roelof Koekoek	30
+	Krall–Jacobi commutative algebras of partial differential operators	2011	Plamen Iliev	29
+	Using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi mathvariant="script">D</mml:mi></mml:math>-operators to construct orthogonal polynomials satisfying higher order difference or differential equations	2013	Antonio J. Durán	29
+	Über Sturm-Liouvillesche Polynomsysteme	1929	S. Bochner	28
+ PDF Chat	On a differential equation for Koornwinder’s generalized Laguerre polynomials	1991	J. Koekoek Roelof Koekoek	28
+	Orthogonal Polynomials Satisfying Higher-Order Difference Equations	2012	Antonio J. Durán	26
+	Some functions that generalize the Krall-Laguerre polynomials	1999	F. Alberto Grünbaum Luc Haine Emil Horozov	26
+	An extended class of orthogonal polynomials defined by a Sturm–Liouville problem	2009	David Gómez‐Ullate Niky Kamran Robert Milson	26
+	None	1997	F. Alberto Grünbaum Luc Haine	25
+	Orthogonal polynomials satisfying differential equations: The role of the Darboux transformation	1996	F. Alberto Grünbaum Luc Haine	25
+ PDF Chat	Differential equations in the spectral parameter	1986	J. J. Duistermaat F. A. Gr�nbaum	24
+	An extension of Bochner’s problem: Exceptional invariant subspaces	2009	David Gómez‐Ullate Niky Kamran Robert Milson	23
+	Exceptional Charlier and Hermite orthogonal polynomials	2014	Antonio J. Durán	22
+	Differential equations for generalized Jacobi polynomials	2000	J. Koekoek Roelof Koekoek	22
+ PDF Chat	Matrix Inner Product Having a Matrix Symmetric Second Order Differential Operator	1997	Antonio J. Durán	21
+ PDF Chat	On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures	1995	Antonio J. Durán	21
+	A Generalization of Favard′s Theorem for Polynomials Satisfying a Recurrence Relation	1993	Antonio J. Durán	21
+	Constructing bispectral dual Hahn polynomials	2014	Antonio J. Durán	20
+	None	2003	Antonio J. Durán F. Alberto Grünbaum	20
+	Matrix valued orthogonal polynomials of the Jacobi type	2003	F.A. Grünbaurn I. Pacharoni Juan Tirao	19
+ PDF Chat	The Stieltjes moments problem for rapidly decreasing functions	1989	Antonio J. Durán	19
+	Exceptional Meixner and Laguerre orthogonal polynomials	2014	Antonio J. Durán	19
+ PDF Chat	Constructing Bispectral Orthogonal Polynomials from the Classical Discrete Families of Charlier, Meixner and Krawtchouk	2014	Antonio J. Durán Manuel D. de la Iglesia	19
+ PDF Chat	Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations	2010	Ryu Sasaki Satoshi Tsujimoto Alexei Zhedanov	18
+ PDF Chat	Orthogonal matrix polynomials and higher-order recurrence relations	1995	Antonio J. Durán Walter Van Assche	18
+ PDF Chat	Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials	2013	David Gómez‐Ullate Yves Grandati Robert Milson	18
+	Orthogonal Matrix Polynomials: Zeros and Blumenthal's Theorem	1996	Antonio J. Durán Pedro Lopez-Rodriguez	17
+	Matrix valued Jacobi polynomials	2003	F. Alberto Grünbaum	17
+ PDF Chat	Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry	2008	C. Quesne	17
+ PDF Chat	Über die Gaußische Quadratur und eine Verallgemeinerung derselben.	1858	E.B. Christoffel	16
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	16
+	Structural Formulas for Orthogonal Matrix Polynomials Satisfying Second-Order Differential Equations, I	2004	Antonio J. Durán F. Alberto Grünbaum	16
+	A Method to Find Weight Matrices Having Symmetric Second-Order Differential Operators with Matrix Leading Coefficient	2008	Antonio J. Durán	15
+	THE SCATTERING PROBLEM FOR A DISCRETE STURM-LIOUVILLE OPERATOR	1984	Alexander Ivanovich Aptekarev Е. М. Никишин	14
+	Differential equations for discrete Laguerre–Sobolev orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia	14
+	Constructing Krall–Hahn orthogonal polynomials	2014	Antonio J. Durán Manuel D. de la Iglesia	14
+ PDF Chat	Differential equations for discrete Jacobi–Sobolev orthogonal polynomials	2018	Antonio J. Durán Manuel D. de la Iglesia	14
+	Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)	1971	Michael Krein	14
+ PDF Chat	Dual Christoffel Transformations	2011	Satoru Odake Ryu Sasaki	13
+	Matrix Valued Spherical Functions Associated to the Complex Projective Plane	2002	F. Alberto Grünbaum I. Pacharoni Juan Tirao	13
+	Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials	2011	Satoru Odake Ryu Sasaki	13
+	Exceptional Hahn and Jacobi orthogonal polynomials	2016	Antonio J. Durán	13
+ PDF Chat	Askey-Wilson type functions with bound states	2006	Luc Haine Plamen Iliev	13