Linear Generating Relations and Hypergeometric Transformations

Print ISSN: 2319-1023

Abstract

The main object of this paper is to obtain four linear generating relations for generalized Hermite polynomials of Dickinson-Warsi and two hypergeometric transformations for Gauss's ordinary hypergeometric function, using Barr's identity and Carlitz's generating relations.

Keywords and Phrases

Linear generating relations, Generalized (Associated or Sonine) Laguerre polynomials, Generalized Hermite polynomials, Hypergeometric transformations.

A.M.S. subject classification

Primary: 33C45; Secondary: 33C05.

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