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.