Work

Recurrence free decomposition formulas for the Lauricella special functions

Year: 2024

Type: article

Abstract: 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.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2024m4/95-106

Authors: T.G. Ergashev, A.R. Ryskan, N.N. Yuldashev

Institutions: Ghent University, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Narxoz University, Abai Kazakh National Pedagogical University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405885420

FWCI:

Cites: 25

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Related to: 10