The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties
In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al. For this extended function, we derive various properties, including integral representations, recurrence relations, generating...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2025-07-01
|
| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/1916 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we introduce the extended Exton's hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ using the extended beta function given by \"{O}zergin et al. For this extended function, we derive various properties, including integral representations, recurrence relations, generating functions, transformation formulas, and summation formulas. Some special cases of the main results are also considered.
|
|---|---|
| ISSN: | 2773-4196 |