Homogeneous \(q\)-partial difference equations and some applications
type: Item
instance of: scholarly article
title: Homogeneous \(q\)-partial difference equations and some applications
zbMATH Open document ID: 1392.11014
author: Jian Cao
published in: Advances in Applied Mathematics
publication date: 2016-12-27T00:00:00Z
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 39A13
zbMATH DE Number: 6668618
zbMATH Keywords: homogeneous \(q\)-partial difference equation
zbMATH Keywords: generating function
zbMATH Keywords: \(q\)-hypergeometric polynomial
zbMATH Keywords: Askey-Roy integral
zbMATH Keywords: Andrews-Askey integral
zbMATH Keywords: Ramanujan's integral
zbMATH Keywords: moment integral
MaRDI profile type: Publication
full work available at URL: j.aam.2016.11.001
OpenAlex ID: W2555076617
cites work: Q4227312
cites work: Some Orthogonal q‐Polynomials
cites work: Summations and Transformations for Basic Appell Series
cites work: Applications of Basic Hypergeometric Functions
cites work: Another q-Extension of the Beta Function
cites work: Two Integrals of Ramanujan
cites work: More q-beta integrals
cites work: Q4513133
cites work: Q5725805
cites work: A Note onq-Integrals and Certain Generating Functions
cites work: A note on generalized \(q\)-difference equations for \(q\)-beta and Andrews-Askey integral
cites work: A note on moment integrals and some applications
cites work: Notes on Askey-Roy integral and certain generating functions for \(q\)-polynomials
cites work: Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials
cites work: Generating functions for certain q-orthogonal polynomials
cites work: The homogeneous \(q\)-difference operator
cites work: Q4400925
cites work: Complex and real Hermite polynomials and related quantizations
cites work: Applications of a generalized \(q\)-difference equation
cites work: Q3976111
cites work: Q4341398
cites work: Q4828543
cites work: Operational formulae for the complex Hermite polynomialsHp,q(z, z¯)
cites work: Q3182020
cites work: \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
cites work: Kibble-Slepian formula and generating functions for 2D polynomials
cites work: Q5815839
cites work: Hypergeometric Orthogonal Polynomials and Their q-Analogues
cites work: Twoq-difference equations andq-operator identities
cites work: An extension of the non-terminating6φ5summation and the Askey–Wilson polynomials
cites work: On the $q$-partial differential equations and $q$-series
cites work: A \(q\)-extension of a partial differential equation and the Hahn polynomials
cites work: Two expansion formulas involving the Rogers–Szegő polynomials with applications
cites work: Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
cites work: Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
cites work: Barnes and Ramanujan-Type Integrals on the q-Linear Lattice
cites work: Q3159369
cites work: Expansion of analytic functions in \(q\)-orthogonal polynomials
cites work: Poisson kernel and multilinear generating functions of some orthogonal polynomials
cites work: A remark on Andrews-Askey integral
cites work: Generalizations of Milne's \(\mathrm{U}(n+1)q\)-binomial theorems
cites work: Q4324964
DOI: 10.1016/J.AAM.2016.11.001
description: scientific article; zbMATH DE number 6668618