Extensions of two \(q\)-series expansions with applications to biorthogonal rational functions

DOI10.1016/j.amc.2006.08.119zbMath1113.33010OpenAlexW2050387271MaRDI QIDQ884111

Yashoverdhan Vyas, C. M. Joshi

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.119

zbMATH Keywords

\(q\)-hypergeometric functionsexpansion formulaebiorthogonal rational functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Extensions of the classical theorems for very well-poised hypergeometric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extensions of certain classical integrals of Erdélyi for Gauss hypergeometric functions.
• \(q\)-extensions of certain Erdélyi type integrals
• Extensions of Bailey's transform and applications
• Expansions of Hypergeometric Functions in Hypergeometric Functions
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Orthogonal Functions from Gram Determinants
• Contiguous relations, continued fractions and orthogonality
• Some Identities in Combinatory Analysis

This page was built for publication: Extensions of two \(q\)-series expansions with applications to biorthogonal rational functions