Recurrence free decomposition formulas for the Lauricella special functions
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.
Authors
- Tuhtasin Ergashev (ORCID: https://orcid.org/0000-0003-3542-8309)
- N.N. Yuldashev (ORCID: https://orcid.org/0009-0001-1281-2722)
- Айнур Рыскан (ORCID: https://orcid.org/0000-0002-8764-4751)
Institutions
- HOGENT University of Applied Sciences and Arts (BE)
- Ghent University Hospital (BE)
- Narxoz University (KZ)
- Tashkent Institute of Irrigation and Agricultural Mechanization Engineers (UZ)
- Abai Kazakh National Pedagogical University (KZ)
Publication Details
- Journal
- BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
- Published
- 2024-12-30
- DOI
- https://doi.org/10.31489/2024m4/95-106
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00