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

Anvar HasanovDepartment of Mathematics, Analysis, Logic and Discrete Mathematics Ghent University, Ghent, BelgiumJihad YounisDepartment of Mathematics, Aden University, Khormaksar, P.O. Box 6014, YemenHassen AydiChina Medical University Hospital, China Medical University, Taichung 40402, Taiwan
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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.

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