The Relativistic Szego Polynomials
Integral Transforms and Special Functions
Orthogonal polynomials, Generating functions
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.
He, Matthew; Noschese, S.; and Ricci, P. E., "The Relativistic Szego Polynomials" (1997). Mathematics Faculty Articles. 182.