Recurrence free decomposition formulas for the Lauricella special functions
Ergashev T.G. Ryskan A.R. Yuldashev N.N.
2024E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2024#116Issue 495 - 106 pp.
Expansion formulas associated with the multidimensional Lauricella hypergeometric functions are wellestablished and extensively utilized. However, the recurrence relations inherit in these formulas add extra complexities to their use. A thorough analysis of the characteristics of these expansion formulas shows that they can be simplified and converted into a more convenient form. This paper presents new recurrence free decomposition formulas, which are employed to solve boundary value problems.
Appell Functions , Lauricella Functions , Recurrence Decomposition Formula , Recurrence Free Decomposition Formula
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Department of Higher Mathematics, TIIAME National Research University, 39 Kori Niyoziy street, Tashkent, 100000, Uzbekistan
Department of Mathematics and Mathematical Modeling, Abai Kazakh National Pedagogical University, 13 Dostyq avenue, Almaty, 050010, Kazakhstan
Department of Higher Mathematics
Department of Mathematics and Mathematical Modeling
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