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Recurrence free decomposition formulas for the Lauricella special functions

Tuhtasin ErgashevTIIAME National Research University, Tashkent, UzbekistanАйнур РысканAbai Kazakh National Pedagogical University, Almaty, Kazakhstan; Narxoz University, Almaty, KazakhstanN.N. YuldashevTIIAME National Research University, Tashkent, Uzbekistan

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2024en

Ochiq kirishOlmos

Litsenziya: cc-by-nc-nd

ABI

Annotatsiya

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.

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Mavzular

Mathematical functions and polynomials Polynomial and algebraic computation Numerical methods for differential equations

Identifikatorlar

DOI: 10.31489/2024m4/95-106

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