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

Anvar HasanovInstitute of Mathematics, Uzbek Academy of Sciences, 29, F. Hodjaev Street, Tashkent 100125, UzbekistanJihad 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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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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