The Relativistic Szego Polynomials

Matthew He; S. Noschese; P. E. Ricci

doi:10.1080/10652469708819126

The Relativistic Szego Polynomials

Matthew He
, S. Noschese
, P. E. Ricci

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A new relativistic-type polynomial 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.

Original language	American English
Pages (from-to)	59-68
Journal	Integral Transforms and Special Functions
Volume	5
Issue number	1-2
DOIs	https://doi.org/10.1080/10652469708819126
State	Published - Jan 1 1997

Keywords

Generating functions
Orthogonal polynomials

Disciplines

Mathematics

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10.1080/10652469708819126License: Unspecified

Cite this

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title = "The Relativistic Szego Polynomials",

abstract = " A new relativistic-type polynomial 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. Szeg{\"o}. Some properties of this new set of orthogonal polynomials are derived.",

keywords = "Generating functions, Orthogonal polynomials",

author = "Matthew He and S. Noschese and Ricci, \{P. E.\}",

year = "1997",

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AU - He, Matthew

AU - Noschese, S.

AU - Ricci, P. E.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - A new relativistic-type polynomial 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.

AB - A new relativistic-type polynomial 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.

KW - Generating functions

KW - Orthogonal polynomials

UR - https://nsuworks.nova.edu/math_facarticles/182

U2 - 10.1080/10652469708819126

DO - 10.1080/10652469708819126

M3 - Article

SN - 1065-2469

VL - 5

SP - 59

EP - 68

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 1-2

ER -

The Relativistic Szego Polynomials

Abstract

Keywords

Disciplines

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