Some Formulas for Horn’s Hypergeometric Function <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <msub> <mrow> <mtext>G</mtext> </mrow> <mrow> <mi>B</mi> </mrow> </msub> </math> of Three Variables-Reference-Cited by-同舟云学术

Some Formulas for Horn’s Hypergeometric Function $G_{B}$ of Three Variables

Published:2022-09-14 Issue: Volume:2022 Page:1-11
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Shehata Ayman¹²,Moustafa Shimaa I.¹,Younis Jihad³^ORCID,Aydi Hassen⁴⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

2. Department of Mathematics, College of Science and Arts, Unaizah 56264, Qassim University, Qassim, Saudi Arabia

3. University of Aden, Department of Mathematics, Aden, Yemen

4. Université de Sousse, Institut Supérieur d’Informatique et Des Techniques de Communication, H. Sousse 4000, Tunisia

5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

Agarwal et al. (2021) established the extension of several fundamental contiguous relations for

G_{B}

. 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

G_{B}

of three variables. Some well-known particular cases have additionally been given.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2022/6565627.pdf

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