Advances in the generalized Ces`aro polynomials
| dc.contributor.author | Özmen, N. | |
| dc.contributor.author | Erkuş- Duman, E. | |
| dc.date.accessioned | 2025-01-23T08:02:28Z | |
| dc.date.available | 2025-01-23T08:02:28Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Ces`aro polynomials have been extended in various ways and applied in diverse areas. In this paper, we aim to introduce a multivariable and multiparameter generalization of Ces`aro polynomials. Then we explore several generating functions, an addition formula, a differential-recurrence relation, a multiple integral formula for this extended Ces`aro polynomial, as well as a multiple integral formula whose kernel is this extended Ces`aro polynomial. Also we present several bilinear and bilateral generating functions for this extended Ces`aro polynomial, two of whose examples are demonstrated. | ru_RU |
| dc.identifier.citation | Özmen N., Erkuş- Duman E. Advances in the generalized Ces`aro polynomials./ N. Özmen, E. Erkuş-Duman//Bulletin of the Karaganda University. “Mathematics” Series. — 2024. — Vol. 29 - Iss. 4(116). — 160-170pp. | ru_RU |
| dc.identifier.issn | 2518-7929 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19552 | |
| 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 | Ces`aro polynomials | ru_RU |
| dc.subject | generating function | ru_RU |
| dc.subject | recurrence relation | ru_RU |
| dc.subject | hypergeometric function | ru_RU |
| dc.subject | integral representation. | ru_RU |
| dc.title | Advances in the generalized Ces`aro polynomials | ru_RU |
| dc.title.alternative | Ces`aro polynomials have been extended in various ways and applied in diverse areas. In this paper, we aim to introduce a multivariable and multiparameter generalization of Ces`aro polynomials. Then we explore several generating functions, an addition formula, a differential-recurrence relation, a multiple integral formula for this extended Ces`aro polynomial, as well as a multiple integral formula whose kernel is this extended Ces`aro polynomial. Also we present several bilinear and bilateral generating functions for this extended Ces`aro polynomial, two of whose examples are demonstrated. | ru_RU |
| dc.type | Article | ru_RU |