Extended Multivariable Fourth Type Horn Functions

Abstract

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