Contribution for the Summation Formulas for the Generalized Hypergeometric Series 6 F 5 (−1)
In this paper, our aim is to provide as many as one hundred and ninety‐two summation formulas for the generalized hypergeometric series 6 F 5 (−1) in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized W...
Gespeichert in:
Veröffentlicht in: | Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1) |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | In this paper, our aim is to provide as many as one hundred and ninety‐two summation formulas for the generalized hypergeometric series 6 F 5 (−1) in terms of gamma functions. For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. Results obtained earlier by Zhao follows special cases of our main findings. |
---|---|
ISSN: | 2314-4629 2314-4785 |
DOI: | 10.1155/2022/2788208 |