Summation formulas for Gauss’s and Clausen’s hypergeometric functions
In this paper, we utilize the general hypergeometric identity established by Masjed-Jamei and Koepf [5]to derive several summation formulas for Gauss’s and Clausen’s hypergeometric functions. As an applica-tion of our main results, we also evaluate specific values of Clausen’s hypergeometric function for various arguments.
Authors
- Ahmed Ali Al-Gonah
- Ahmed Ali Atash (ORCID: https://orcid.org/0000-0001-7762-6341)
Institutions
- Shaqra University (SA)
- University of Aden (YE)
Publication Details
- Journal
- Journal of Mathematical Analysis and Modeling
- Published
- 2025-06-16
- DOI
- https://doi.org/10.48185/jmam.v6i1.1261
- Primary Topic
- Statistical and numerical algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00