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New Decomposition Formulas Associated with the Lauricella Multivariable Hypergeometric Functions

Anvarjon HasanovTuhtasin ErgashevInstitute of Mathematics, 81 Mirzo-Ulugbek Street, Tashkent 100170, Uzbekistan - Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39 Kari-Niyazi Street, Tashkent 100100, Uzbekistan
2021en
ABI

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) .

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