Operational identities and properties of ordinary and generalized special functions
type: Item
instance of: scholarly article
title: Operational identities and properties of ordinary and generalized special functions
zbMATH Open document ID: 0943.33005
author: S. Lorenzutta
author: G. Dattoli
author: Amalia Torre
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-09-05T00:00:00Z
review text: Here the theory of Hermite, Laguerre, and of the associated generating functions is reformulated within the framework of an operational formalism. This point of view provides more efficient tools which allow the straightforward derivation of a number of new and old identities. In this paper a central role is played by negative derivative operators and by their link with the Tricomi functions and the generalized Laguerre polynomials.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1340180
zbMATH Keywords: Hermite polynomials
zbMATH Keywords: generating functions
zbMATH Keywords: Tricomi functions
zbMATH Keywords: Laguerre polynomials
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6447
OpenAlex ID: W2094192008
cites work: Q4704815
cites work: Operational rules and arbitrary order Hermite generating functions
cites work: Q3319049
DOI: 10.1006/JMAA.1999.6447
description: scientific article; zbMATH DE number 1340180