# Article ID: MTJPAM-D-20-00049

## Title: New Decomposition Formulas Associated with the Lauricella Multivariable Hypergeometric Functions

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00049; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 317-326

Document Type: Research Paper

aInstitute of Mathematics, 81 Mirzo-Ulugbek Street, Tashkent 100170, Uzbekistan – Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39 Kari-Niyazi Street, Tashkent 100100, Uzbekistan Department of Mathematics, Analysis, Logic and Discrete Mathematics Ghent University, Belgium

bInstitute of Mathematics, 81 Mirzo-Ulugbek Street, Tashkent 100170, Uzbekistan – Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39 Kari-Niyazi Street, Tashkent 100100, Uzbekistan

Received: 18 December 2020, Accepted: 9 April 2021, Published: 25 April 2021.

Corresponding Author: Tuhtasin Gulamjanovich Ergashev (Email address: ergashev.tukhtasin@gmail.com)

Abstract

Certain decomposition formulas associated with a number of simple and multiple Gaussian hypergeometric functions including the multiple Lauricella hypergeometric functions have been presented. In this paper, we aim to establish further new decomposition formulas involving the multiple Lauricella hypergeometric functions FA(n) and FB(n).

Keywords: Lauricella functions, Multiple hypergeometric functions, Decomposition formula

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