A New Type Multivariable Multiple Hypergeometric Functions

Authors : Duriye KORKMAZDUZGUN

Pages : 359-372

Doi:10.47000/tjmcs.954676

View : 15 | Download : 8

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :We define a new type of multivariable multiple hypergeometric functions in this paper, which is inspired by Exton`s multiple hypergeometric functions given by in [13]. Then, for these functions, we obtain some certain type linear generating functions. After that, we derive a variety classes of multilinear and multilateral generating functions for a family of the multivariable multiple hypergeometric functions. In addition, by employing the Erkus-Srivastava polynomials insert ignore into journalissuearticles values(see [11]); and the fourth type multivariable Horn functions insert ignore into journalissuearticles values(see [13]);, we have also provided some of its conclusions.
Keywords : Multiple hypergeometric functions, Multivariable Horn Functions, Lauricella functions, Appell functions, Generating functions, Multilinear and Multilateral generating functions, Pochhammer symbol