The Hermite polynomials and the Bessel functions from a general point of view
type: Item
instance of: scholarly article
title: The Hermite polynomials and the Bessel functions from a general point of view
zbMATH Open document ID: 1082.33002
DOI: 10.1155/S0161171203211133
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/52141
review text: Summary: We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 2012636
author: G. Dattoli
author: H. M. Srivastava
author: D. Sacchetti
MaRDI profile type: Publication
OpenAlex ID: W2166272570
description: scientific article; zbMATH DE number 2012636