Recurrence free decomposition formulas for the Lauricella special functions
| dc.contributor.author | Ergashev, T.G. | |
| dc.contributor.author | Ryskan, A.R. | |
| dc.contributor.author | Yuldashev, N.N. | |
| dc.date.accessioned | 2025-01-23T06:01:01Z | |
| dc.date.available | 2025-01-23T06:01:01Z | |
| dc.date.issued | 2024 | |
| dc.description.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. | ru_RU |
| dc.identifier.citation | Ergashev T.G., Ryskan A.R., Yuldashev N.N. Recurrence free decomposition formulas for the Lauricella special functions/ T.G. Ergashev, A.R. Ryskan, N.N. Yuldashev//Bulletin of the Karaganda University. “Mathematics” Series. — 2024. — Vol. 29 - Iss. 4(116). — 96-107pp. | ru_RU |
| dc.identifier.issn | 2518-7929 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19541 | |
| dc.language.iso | other | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | “Mathematics” Series;4(116) | |
| dc.subject | Appell Functions | ru_RU |
| dc.subject | Lauricella Functions | ru_RU |
| dc.subject | Recurrence Decomposition Formula | ru_RU |
| dc.subject | Recurrence Free Decomposition Formula | ru_RU |
| dc.title | Recurrence free decomposition formulas for the Lauricella special functions | ru_RU |
| dc.title.alternative | 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. | ru_RU |
| dc.type | Article | ru_RU |