The Relativistic Szego Polynomials

Authors

Matthew He, Nova Southeastern UniversityFollow
S. Noschese, Universita degli Studi di Roma La Sapienza
P. E. Ricci, Universita degli Studi di Roma La Sapienza

Document Type

Article

Publication Date

1-1-1997

Publication Title

Integral Transforms and Special Functions

Keywords

Orthogonal polynomials, Generating functions

ISSN

1065-2469

Volume

5

Issue/No.

1-2

First Page

59

Last Page

68

Abstract

A new relativistic-type polynomiasl system is defined by means of the Relativistic Polynomial (RLP) system

, recently introduced by P. Natalini. These polynomials, denoted by

, are called Relativistic Generalized Hermite Polynomials (RGHP) because they reduce, in the non-relativistc limit

, to the Generalized Hermite Polynomials first considered by G. Szegö. Some properties of this new set of orthogonal polynomials are derived.

Comments

MSC(1991): 33C45, 83C15, 83030, 83047

NSUWorks Citation

He, Matthew; Noschese, S.; and Ricci, P. E., "The Relativistic Szego Polynomials" (1997). Mathematics Faculty Articles. 182.
https://nsuworks.nova.edu/math_facarticles/182

DOI

10.1080/10652469708819126