q-Extension of generalized Gegenbauer polynomials

DOI10.1080/10236190902821671zbMath1204.42040OpenAlexW2130452454MaRDI QIDQ3066357

Manoubi Méjri

Publication date: 10 January 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902821671

zbMATH Keywords

\(q\)-difference equations\(q\)-difference operator\(H_q\)-semi-classical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (1)

q-Chebyshev polynomials and their q-classical characters

Cites Work

• Unnamed Item
• Unnamed Item
• The q-analogue of the Laguerre polynomials
• The \(q\)-Laguerre polynomials and related moment problems
• The \(H_q\)-classical orthogonal polynomials
• Analytic theory of linear \(q\)-difference equations
• The \(I_{(q,\omega)}\) classical orthogonal polynomials
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• Symmetric laguerre-hahn forms of classs=1
• Linear 𝑞-difference equations
• q-Hermite Polynomials and Classical Orthogonal Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

This page was built for publication: q-Extension of generalized Gegenbauer polynomials