- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 2
- A New Type Multivariable Multiple Hypergeometric Functions
A New Type Multivariable Multiple Hypergeometric Functions
Authors : Duriye KORKMAZ-DUZGUN
Pages : 359-372
Doi:10.47000/tjmcs.954676
View : 6 | Download : 2
Publication Date : 2021-12-31
Article Type : Research
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 (see [11]) and the fourth type multivariable Horn functions (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