Article

Recurrence free decomposition formulas for the Lauricella special functions

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

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2024en

ABI

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.

Topics

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

Identifiers

DOI: 10.31489/2024m4/95-106

Citations and references

Cited by 026 references

Metrics — AkademScholar · Coming soon