Mathematics Faculty Articles

Title

The Relativistic Szego Polynomials

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

DOI

10.1080/10652469708819126

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Peer Reviewed

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