Some Formulas for Horn's Hypergeometric Function GB of Three Variables

Ayman Shehata; Shimaa I. Moustafa; Jihad Younis; Hassen Aydi

doi:10.1155/2022/6565627

Some Formulas for Horn's Hypergeometric Function GB of Three Variables

Ayman Shehata
, Shimaa I. Moustafa
, Jihad Younis^*
, Hassen Aydi^*

^*Corresponding author for this work

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

Abstract

Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.

Original language	English
Article number	6565627
Journal	Advances in Mathematical Physics
Volume	2022
DOIs	https://doi.org/10.1155/2022/6565627
Publication status	Published - 2022
Externally published	Yes

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abstract = "Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.",

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AU - Aydi, Hassen

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AB - Agarwal et al. (2021) established the extension of several fundamental contiguous relations for GB. Our aim in this work is to investigate several properties of differentiation formulas, differential equations, recursion relations, differential recursion relations, confluence formulas, series representations, integration formulas, and infinite summations for Horn's hypergeometric function GB of three variables. Some well-known particular cases have additionally been given.

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DO - 10.1155/2022/6565627

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VL - 2022

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

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Some Formulas for Horn's Hypergeometric Function GB of Three Variables

Abstract

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