On the functional equation for classical orthogonal polynomials on lattices

DOI10.1016/j.jmaa.2022.126390OpenAlexW3127696457MaRDI QIDQ2154431

D. Mbouna, J. Petronilho, Kenier Castillo

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00033

zbMATH Keywords

functional equationclassical orthogonal polynomialslatticesAskey-Wilson polynomialsRacah polynomialsregular functional

Mathematics Subject Classification ID

Basic hypergeometric functions (33Dxx) Hypergeometric functions (33Cxx) Nontrigonometric harmonic analysis (42Cxx)

Related Items (5)

Classical orthogonal polynomials revisited ⋮ Semi-classical orthogonal polynomials associated with a modified Gaussian weight ⋮ A structure relation for some orthogonal polynomials ⋮ Characterization of orthogonal polynomials on lattices ⋮ A counterexample to a conjecture of M. Ismail

Cites Work

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• Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• The theory of difference analogues of special functions of hypergeometric type
• On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
• On classical orthogonal polynomials related to Hahn's operator
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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