A New Type Multivariable Multiple Hypergeometric Functions

Autor: Duriye KORKMAZ-DUZGUN
Rok vydání: 2021
Předmět:
Zdroj: Volume: 13, Issue: 2 359-372
Turkish Journal of Mathematics and Computer Science
ISSN: 2148-1830
DOI: 10.47000/tjmcs.954676
Popis: 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.
Databáze: OpenAIRE