Some Generating Functions for a Class of Hypergeometric Polynomials

Authors : Nejla OZMEN, Esra ERKUS DUMAN

Pages : 1179-1190

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Publication Date : 2018-12-01

Article Type : Research Paper

Abstract :The present study deals with some new properties for the hypergeometric polynomials . The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also some special cases for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the hypergeometric polynomials  and the generalized Lauricella functions. Finally, we get several interesting results of this theorem.
Keywords : Hypergeometric polynomials, Generating function, Multilinear and multilateral generating function, Recurrence relation