The truncated exponential polynomials, the associated Hermite forms and applications
type: Item
instance of: scholarly article
title: The truncated exponential polynomials, the associated Hermite forms and applications
zbMATH Open document ID: 1113.33013
DOI: 10.1155/IJMMS/2006/98175
author: M. Migliorati
author: G. Dattoli
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-14T00:00:00Z
full work available at URL: https://eudml.org/doc/53123
review text: Summary: We discuss the properties of the truncated exponential polynomials and develop the theory of new form of Hermite polynomials, which can be constructed using the truncated exponential as a generating function. We derive their explicit forms and comment on their usefulness in applications, with particular reference to the theory of flattened beams, used in optics.
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 5164292
MaRDI profile type: Publication
cites work: Q4788945
cites work: A note on truncated polynomials
cites work: The Hermite polynomials and the Bessel functions from a general point of view
cites work: Q3319049
OpenAlex ID: W1996435741
Recommended article: Q4462170
Recommended article: Truncated Hermite polynomials
Recommended article: Truncated-exponential-based Frobenius-Euler polynomials
Recommended article: On polynomials related with Hermite-Padé approximations to the exponential function
Recommended article: Q5864950
Recommended article: On a new family related to truncated exponential and Sheffer polynomials
Recommended article: A note on truncated exponential-based Appell polynomials
Recommended article: A note on the truncated-exponential based Apostol-type polynomials
Recommended article: A new class of Tricomi-Legendre-Hermite and related polynomials
Recommended article: Some applications of the Hermite matrix polynomials series expansions
description: scientific article; zbMATH DE number 5164292