On discrete \(q\)-ultraspherical polynomials and their duals

DOI10.1016/j.jmaa.2004.10.016zbMath1076.33013arXivmath/0403159OpenAlexW2084350382MaRDI QIDQ2484277

A. U. Klimyk, Natig M. Atakishiyev

Publication date: 1 August 2005

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

Full work available at URL: https://arxiv.org/abs/math/0403159

zbMATH Keywords

dualitylittle \(q\)-Jacobi polynomialsorthogonality relationsbig \(q\)-Jacobi polynomialsdiscrete \(q\)-ultraspherical polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Schur \(Q\)-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux ⋮ Non-classical orthogonality relations for big and little \(q\)-Jacobi polynomials ⋮ New orthogonality relations for the continuous and the discrete \(q\)-ultraspherical polynomials

Cites Work

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• On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials
• Orthogonality relations and generating functions for Jacobi polynomials and related hypergeometric functions
• q-Hermite Polynomials and Classical Orthogonal Polynomials

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