Mellin transforms for some families of \(q\)-polynomials
type: Item
instance of: scholarly article
title: Mellin transforms for some families of \(q\)-polynomials
zbMATH Open document ID: 1020.44007
DOI: 10.1016/S0377-0427(02)00638-6
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: By using Ramanujan's \(q\)-extension of the Euler integral representation for the gamma function, the authors derive the Mellin integral transforms for the families of the discrete \(q\)-Hermite II, the Al-Salam-Carlitz II, the big \(q\)-Laguerre, the big \(q\)-Legendre, the big Jacobi and the \(q\)-Hahn polynomials.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 1915217
zbMATH Keywords: Mellin integral transforms
zbMATH Keywords: big Jacobi polynomials
zbMATH Keywords: \(q\)-Hermite II polynomials
zbMATH Keywords: Al-Salam-Carlitz II polynomials
zbMATH Keywords: \(q\)-Laguerre polynomials
zbMATH Keywords: \(q\)-Legendre polynomials
zbMATH Keywords: gamma function
zbMATH Keywords: \(q\)-Hahn polynomials
MaRDI profile type: Publication
cites work: Q3246598
cites work: Q4222737
cites work: Theq-Gamma andq-Beta Functions†
cites work: Ramanujan's Extensions of the Gamma and Beta Functions
cites work: Q3792978
cites work: A \(q\)-analogue of the Euler gamma integral
cites work: Q3248095
cites work: Q4040884
full work available at URL: s0377-0427(02)00638-6
OpenAlex ID: W1507594425
description: scientific article; zbMATH DE number 1915217