q-Special functions, an overview

2005/11/06 by Tom H. Koornwinder, Koornwinder, Tom H.
Mathematics · #33Dxx #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.math/0511148

openalex publication_date 2005/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article gives a brief introduction to q-special functions, i.e., q-analogues of the classical special functions. Here q is a deformation parameter, usually 0

Citations

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

Related

• A unified approach to q-special functions of the Laplace type
• On a q -gamma and a q-beta matrix functions
• Invariant formulation of q-deformations via the novel genomathematics
• Representation of Quantum Algebras and q-Special Functions
• q-deformed rationals and irrationals