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Selected Works of Matthew He
Article
The Relativistic Szego Polynomials
Integral Transforms and Special Functions
  • Matthew He, Nova Southeastern University
  • S. Noschese, Universita degli Studi di Roma La Sapienza
  • P. E. Ricci, Universita degli Studi di Roma La Sapienza
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Document Type
Article
Publication Date
1-1-1997
Keywords
  • Orthogonal polynomials,
  • Generating functions
Disciplines
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
Citation Information
Matthew He, S. Noschese and P. E. Ricci. "The Relativistic Szego Polynomials" Integral Transforms and Special Functions Vol. 5 Iss. 1-2 (1997) p. 59 - 68 ISSN: 1065-2469
Available at: http://works.bepress.com/matthew-he/38/