Summation formulas for Gauss’s and Clausen’s hypergeometric functions
Keywords:
Gauss hypergeometric function; Clausen hypergeometric function; Summation formulas.Abstract
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.
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Published
2025-06-16
How to Cite
Al-Gonah, A., & Atash, A. (2025). Summation formulas for Gauss’s and Clausen’s hypergeometric functions. Journal of Mathematical Analysis and Modeling, 6(1), 107–116. https://doi.org/10.48185/jmam.v6i1.1261
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Copyright & Licensing
Copyright (c) 1970 Ahmed Al-Gonah, Ahmed Atash
This work is licensed under a Creative Commons Attribution 4.0 International License.
