Theory of generalized Hermite polynomials
type: Item
instance of: scholarly article
title: Theory of generalized Hermite polynomials
zbMATH Open document ID: 0802.33011
DOI: 10.1016/0898-1221(94)00128-6
author: C. Chiccoli
author: S. Lorenzutta
author: G. Maino
author: G. Dattoli
author: Amalia Torre
publication date: 1994-09-25T00:00:00Z
review text: The paper discusses multivariable forms of Hermite polynomials. The polynomials are introduced by generating functions. Orthogonality, series expansions in terms of the generalized polynomials and partial differential equations are discussed. For the two-dimensional case several graphs are given.
Mathematics Subject Classification ID: 33C50
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 643706
zbMATH Keywords: multivariate Hermite polynomials
zbMATH Keywords: series expansion
reviewed by: Nico M. Temme
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00128-6
OpenAlex ID: W2017676542
cites work: Operational formulas connected with two generalizations of Hermite polynomials
cites work: Generalized Bessel functions and generalized Hermite polynomials
cites work: Q3215519
cites work: Q5518575
cites work: Q3671491
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 643706