Applications of a generalized \(q\)-difference equation
type: Item
instance of: scholarly article
title: Applications of a generalized \(q\)-difference equation
zbMATH Open document ID: 1417.33003
DOI: 10.1186/1687-1847-2014-267
author: Jian-Ping Fang
published in: Advances in Difference Equations
publication date: 2018-10-30T00:00:00Z
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33D60
zbMATH DE Number: 6968664
zbMATH Keywords: \(q\)-difference equation
zbMATH Keywords: Andrews-Askey integral
zbMATH Keywords: Askey-Wilson integral
zbMATH Keywords: \(q\)-exponential operator
zbMATH Keywords: \(q\)-polynomials
Wikidata QID: Q59324590
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2014-267
OpenAlex ID: W2124901069
cites work: Some Orthogonal q‐Polynomials
cites work: Q3724706
cites work: Another q-Extension of the Beta Function
cites work: Theq-Gamma andq-Beta Functions†
cites work: A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL
cites work: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
cites work: 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
cites work: A note on generalized \(q\)-difference equations for \(q\)-beta and Andrews-Askey integral
cites work: Generating functions for certain q-orthogonal polynomials
cites work: \(q\)-differential operator identities and applications
cites work: SOME APPLICATIONS OF q-DIFFERENTIAL OPERATOR
cites work: Note on a \(q\)-contour integral formula
cites work: Q4040189
cites work: Q3976111
cites work: Q4828543
cites work: q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
cites work: The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
cites work: Some operator identities and \(q\)-series transformation formulas
cites work: Twoq-difference equations andq-operator identities
cites work: An extension of the non-terminating6φ5summation and the Askey–Wilson polynomials
cites work: \(q\)-difference equation and the Cauchy operator identities
cites work: On the \(q\)-polynomials: A distributional study
cites work: Q4542029
cites work: A remark on Andrews-Askey integral
cites work: A recurring \(q\)-integral formula
cites work: Complex Analysis: A Brief Tour into Higher Dimensions
description: scientific article; zbMATH DE number 6968664