Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

Anvar Hasanov; Jihad Younis; Hassen Aydi

doi:10.1155/2021/5580131

Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

Anvar Hasanov
, Jihad Younis
, Hassen Aydi^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function. We also establish some integral representations involving the quadruple hypergeometric function X844.

Original language	English
Article number	5580131
Journal	Journal of Function Spaces
Volume	2021
DOIs	https://doi.org/10.1155/2021/5580131
Publication status	Published - 2021
Externally published	Yes

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title = "Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function",

abstract = "Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function. We also establish some integral representations involving the quadruple hypergeometric function X844.",

author = "Anvar Hasanov and Jihad Younis and Hassen Aydi",

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year = "2021",

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T1 - Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

AU - Hasanov, Anvar

AU - Younis, Jihad

AU - Aydi, Hassen

PY - 2021

Y1 - 2021

N2 - Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function. We also establish some integral representations involving the quadruple hypergeometric function X844.

AB - Recently, hypergeometric functions of four variables are investigated by Bin-Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function. We also establish some integral representations involving the quadruple hypergeometric function X844.

UR - https://www.scopus.com/pages/publications/85113686864

U2 - 10.1155/2021/5580131

DO - 10.1155/2021/5580131

M3 - Article

AN - SCOPUS:85113686864

SN - 2314-8896

VL - 2021

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 5580131

ER -

Linearly Independent Solutions and Integral Representations for Certain Quadruple Hypergeometric Function

Abstract

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