Some Generating Functions for a Class of Hypergeometric Polynomials

Year 2018, Volume: 31 Issue: 4, 1179 - 1190, 01.12.2018

Nejla Ozmen , Esra Erkus Duman

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

References

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