Unveiling new perspectives of hypergeometric functions using umbral techniques
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913216005668864 |
|---|---|
| author | Dattoli, Giuseppe Haneef, Mehnaz Khan, Subuhi Licciardi, Silvia |
| author_facet | Dattoli, Giuseppe Haneef, Mehnaz Khan, Subuhi Licciardi, Silvia |
| contents | The umbral restyling of hypergeometric functions is shown to be a useful and efficient approach in simplifying the associated computational technicalities. In this article, the authors provide a general introduction to the umbral version of Gauss hypergeometric functions and extend the formalism to certain generalized forms of these functions. It is shown that suggested approach is particularly efficient for evaluating integrals involving hypergeometric functions and their combination with other special functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17209 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unveiling new perspectives of hypergeometric functions using umbral techniques Dattoli, Giuseppe Haneef, Mehnaz Khan, Subuhi Licciardi, Silvia Classical Analysis and ODEs 05A40, 44A99, 33B10, 33C10, 33C20, 33C70, 33C05, 97I50 F.2.2 The umbral restyling of hypergeometric functions is shown to be a useful and efficient approach in simplifying the associated computational technicalities. In this article, the authors provide a general introduction to the umbral version of Gauss hypergeometric functions and extend the formalism to certain generalized forms of these functions. It is shown that suggested approach is particularly efficient for evaluating integrals involving hypergeometric functions and their combination with other special functions. |
| title | Unveiling new perspectives of hypergeometric functions using umbral techniques |
| topic | Classical Analysis and ODEs 05A40, 44A99, 33B10, 33C10, 33C20, 33C70, 33C05, 97I50 F.2.2 |
| url | https://arxiv.org/abs/2401.17209 |