Some Generating Functions for a Class of Hypergeometric Polynomials


ÖZMEN N., Erkus Duman E.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.4, pp.1179-1190, 2018 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2018
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index, Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1179-1190

Abstract

This article concerned with some new features for hypergeometric polynomials S-k((alpha, beta)) (x). The results obtained here contain the various families of multilinear and multilateral generating functions, various features and some exceptions for these polynomials. We will also give a theorem to families giving certain bilateral generating functions for hypergeometric polynomials S-k((alpha, beta)) (x) and generalized Lauricella functions. Finally, we get a few interesting results for this Hypergeometric given theorem.