Extended Multivariable Fourth Type Horn Functions

Year 2019, Volume: 32 Issue: 1, 225 - 240, 01.03.2019

Duriye Korkmaz-duzgun Esra Erkus-duman

Abstract

In this paper, we define extension of multivariable fourth kind Horn functions. Then, we obtain some generating functions for these functions. Furthermore, we get bilateral generating functions for the extended multivariable fourth kind Horn functions and extended first kind Lauricella functions. Finally, we derive various families of multilinear and multilateral generating functions for these functions and their special cases are also given.

Keywords

Hypergeometric function, Horn functions, Generating function, Horn functions, Multivariable Horn functions, Appell functions, Lauricella functions

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