Some Formulas Involving Hypergeometric Functions in Four Variables

Hassen Aydi; Ashish Verma; Jihad Younis; Jung Rye Lee

doi:10.32604/cmes.2022.016924

Some Formulas Involving Hypergeometric Functions in Four Variables

Hassen Aydi, Ashish Verma, Jihad Younis, Jung Rye Lee^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Several (generalized) hypergeometric functions and a variety of their extensions have been presented and investigated in the literature by many authors. In the present paper, we investigate four new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Also, some interesting particular cases and consequences of our results are discussed.

Original language	English
Pages (from-to)	887-902
Number of pages	16
Journal	CMES - Computer Modeling in Engineering and Sciences
Volume	130
Issue number	2
DOIs	https://doi.org/10.32604/cmes.2022.016924
Publication status	Published - 2022
Externally published	Yes

Keywords

Identity
Pascal
Quadruple hypergeometric functions
Recursion formula

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10.32604/cmes.2022.016924

Cite this

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abstract = "Several (generalized) hypergeometric functions and a variety of their extensions have been presented and investigated in the literature by many authors. In the present paper, we investigate four new hypergeometric functions in four variables and then establish several recursion formulas for these new functions. Also, some interesting particular cases and consequences of our results are discussed.",

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AU - Younis, Jihad

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KW - Identity

KW - Pascal

KW - Quadruple hypergeometric functions

KW - Recursion formula

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Some Formulas Involving Hypergeometric Functions in Four Variables

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Keywords

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