On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables-Reference-Cited by-同舟云学术

On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables

Published:2021-03-15 Issue: Volume:2021 Page:1-6
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Hasanov Anvar¹²,Younis Jihad³^ORCID,Aydi Hassen⁴⁵⁶^ORCID

Affiliation:

1. Institute of Mathematics, Uzbek Academy of Sciences, 29, F. Hodjaev Street, Tashkent 100125, Uzbekistan

2. Department of Mathematics, Analysis, Logic and Discrete Mathematics Ghent University, Ghent, Belgium

3. Department of Mathematics, Aden University, Khormaksar, P.O. Box 6014, Yemen

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

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

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

Abstract

In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5538583.pdf

Reference23 articles.

1. Fundamental solutions of generalized Helmholtz equation;A. Hasanov;Reports of Uzbek Academy of Sciences,2006

2. Fundamental solutions of generalized bi-axially symmetric Helmholtz equation

3. Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients

4. Some reduction and transformation formulas for the Appell hypergeometric function F2

5. Summation formulas associated with the Lauricella function FA(r)

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