ON THE GOTTLIEB POLYNOMIALS IN SEVERAL VARIABLES

Esra Erkus-Duman, Nejla Ozmen

DOI Number
https://doi.org/10.22190/FUMI1905927E
First page
927
Last page
940

Abstract


In this study, we give some new properties of the Gottlieb polynomials in several variables. The results obtained here include various families of multilinear and multilateral generating functions, integral representation and recurrence relations for these polynomials. In addition, we derive a theorem giving certain families of bilateral generating functions for the multivariable Gottlieb polynomials and the generalized Lauricella functions. Finally, we get several results of this theorem.

Keywords

Gottlieb polynomials; generalized Lauricella functions; generating func-tions; integral representation; recurrence relation.

Keywords


Gottlieb polynomials; generating function; recurrence relations; hypergeometric function; Lauricella function

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References


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