A New Type Multivariable Multiple Hypergeometric Functions

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

References

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