A New Type Multivariable Multiple Hypergeometric Functions

Year 2021, Volume: 13 Issue: 2, 359 - 372, 31.12.2021

Duriye Korkmaz-duzgun

https://doi.org/10.47000/tjmcs.954676

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

Supporting Institution

No

Project Number

No

References

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