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The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients

Journal of physics. A, Mathematical and theoretical, 2013-04, Vol.46 (14), p.145201-21

2013

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Tridiagonalization of the hypergeometric operator and the Racah--Wilson algebra

Proceedings of the American Mathematical Society, 2016-10, Vol.144 (10), p.4441-4454

2016

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Analytic properties of complex Hermite polynomials

Transactions of the American Mathematical Society, 2016-02, Vol.368 (2), p.1189-1210

Ismail, Mourad E. H.

2016

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The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

Communications in mathematical physics, 2014-08, Vol.329 (3), p.999-1029

2014

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Some orthogonal polynomials arising from coherent states

Journal of physics. A, Mathematical and theoretical, 2012-03, Vol.45 (12), p.125203-16

2012

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Orthogonal polynomials associated with a continued fraction of Hirschhorn

The Ramanujan journal, 2023-06, Vol.61 (2), p.487-514

2023

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Completely monotonic functions involving the gamma and q-gamma functions

Proceedings of the American Mathematical Society, 2006-04, Vol.134 (4), p.1153-1160

2006

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q-Bessel functions and Rogers-Ramanujan type identities

Proceedings of the American Mathematical Society, 2018-09, Vol.146 (9), p.3633

2018

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On some 2D orthogonal q-polynomials

Transactions of the American Mathematical Society, 2017-10, Vol.369 (10), p.6779

2017

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From continuous to discrete: weak limit of normalized Askey–Wilson measure

The Ramanujan journal, 2024-05, Vol.64 (1), p.227-252

2024

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Multivariate holomorphic Hermite polynomials

The Ramanujan journal, 2020-11, Vol.53 (2), p.357-387

2020

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A discrete and q asymptotic iteration method

Journal of difference equations and applications, 2020-04, Vol.26 (4), p.488-509

2020

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Complex Hermite polynomials: Their combinatorics and integral operators

Proceedings of the American Mathematical Society, 2015-04, Vol.143 (4), p.1397-1410

2015

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A q-Translation Approach to Liu’s Calculus

Annals of combinatorics, 2019-11, Vol.23 (3-4), p.465-488

2019

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Addition theorems via continued fractions

Transactions of the American Mathematical Society, 2010-02, Vol.362 (2), p.957-983

2010

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Integral and series representations of q-polynomials and functions: Part II Schur polynomials and the Rogers-Ramanujan identities

Proceedings of the American Mathematical Society, 2017-09, Vol.145 (9), p.3717

2017

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q -difference operators for orthogonal polynomials

Journal of computational and applied mathematics, 2009-12, Vol.233 (3), p.749-761

2009

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Hypergeometric origins of Diophantine properties associated with the Askey scheme

Proceedings of the American Mathematical Society, 2010-03, Vol.138 (3), p.943-951

2010

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Sextic anharmonic oscillators and Heun differential equations

European physical journal plus, 2022-07, Vol.137 (7), p.835, Article 835

2022

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Diophantine properties of orthogonal polynomials and rational functions

Proceedings of the American Mathematical Society, 2017-06, Vol.145 (6), p.2427-2440

2017

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Asymptotics of partition functions in a fermionic matrix model and of related q‐polynomials

Studies in applied mathematics (Cambridge), 2019-01, Vol.142 (1), p.91-105

2019

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Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials

Journal of mathematical analysis and applications, 2011-04, Vol.376 (1), p.259-274

2011

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Classes of Bivariate Orthogonal Polynomials

Symmetry, integrability and geometry, methods and applications, 2016-02, Vol.12

2016

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Ladder operators for q-orthogonal polynomials

Journal of mathematical analysis and applications, 2008-09, Vol.345 (1), p.1-10

2008

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A moment problem and a family of integral evaluations

Transactions of the American Mathematical Society, 2006-09, Vol.358 (9), p.4071-4097

2006

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The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients

Tridiagonalization of the hypergeometric operator and the Racah--Wilson algebra

Analytic properties of complex Hermite polynomials

The Dunkl Oscillator in the Plane II: Representations of the Symmetry Algebra

Some orthogonal polynomials arising from coherent states

Orthogonal polynomials associated with a continued fraction of Hirschhorn

Completely monotonic functions involving the gamma and q-gamma functions

q-Bessel functions and Rogers-Ramanujan type identities

On some 2D orthogonal q-polynomials

From continuous to discrete: weak limit of normalized Askey–Wilson measure

Multivariate holomorphic Hermite polynomials

A discrete and q asymptotic iteration method

Complex Hermite polynomials: Their combinatorics and integral operators

A q-Translation Approach to Liu’s Calculus

Addition theorems via continued fractions

Integral and series representations of q-polynomials and functions: Part II Schur polynomials and the Rogers-Ramanujan identities

q -difference operators for orthogonal polynomials

Hypergeometric origins of Diophantine properties associated with the Askey scheme

Sextic anharmonic oscillators and Heun differential equations

Diophantine properties of orthogonal polynomials and rational functions

Asymptotics of partition functions in a fermionic matrix model and of related q‐polynomials

Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials

Classes of Bivariate Orthogonal Polynomials

Ladder operators for q-orthogonal polynomials

A moment problem and a family of integral evaluations

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