Multiindex multivariable Hermite polynomials
type: Item
instance of: scholarly article
title: Multiindex multivariable Hermite polynomials
zbMATH Open document ID: 1005.33004
author: H. S. P. Shrivastava
published in: Mathematical \& Computational Applications
publication date: 2002-12-10T00:00:00Z
review text: The main results of the present paper involve multiindex and multivariable Hermite polynomials. The author first defines and obtains the basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions of 2-index, 2-variable Hermite polynomials and then gives corresponding results for the \(p\)-index, \(p\)-variable Hermite polynomials. Certain simpler results follow as special cases of the main findings of the paper.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 1819996
zbMATH Keywords: orthogonal polynomials
zbMATH Keywords: hypergeometric function of several variables
zbMATH Keywords: multiindex
zbMATH Keywords: multivariable Hermite polynomials
zbMATH Keywords: generating function
MaRDI profile type: Publication
full work available at URL: mca7020139
OpenAlex ID: W2410604588
DOI: 10.3390/MCA7020139
description: scientific article; zbMATH DE number 1819996