Two-index multidimensional Gegenbauer polynomials and their integral representations.
type: Item
instance of: scholarly article
title: Two-index multidimensional Gegenbauer polynomials and their integral representations.
zbMATH Open document ID: 1038.33004
DOI: 10.1016/S0895-7177(03)00006-2
author: P. E. Ricci
author: G. Dattoli
author: H. M. Srivastava
published in: Mathematical and Computer Modelling
publication date: 2003-10-15T00:00:00Z
review text: The paper deals with properties of two-index multivariable Gegenbauer polynomials and certain gereralizations. By means of the connection of these polynomials with the Hermite-Kampé de Fériet polynomials and suitable generalizations the authors derive several properties of the polynomials in consideration, such as addition and duplication theorems.
reviewed by: Hans-Jürgen Glaeske
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 26C05
zbMATH DE Number: 1993289
zbMATH Keywords: Multidimensional polynomials
zbMATH Keywords: Bessel functions
zbMATH Keywords: Gegenbauer (or ultraspherical) polynomials
zbMATH Keywords: Hermite-Kampé de Fériet (HKdF) polynomials
zbMATH Keywords: addition and multiplication theorems
zbMATH Keywords: free electron lasers
MaRDI profile type: Publication
cites work: Operational formulas connected with two generalizations of Hermite polynomials
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full work available at URL: s0895-7177(03)00006-2
OpenAlex ID: W2036146887
description: scientific article; zbMATH DE number 1993289