Abstract
Our aim is to provide two new integral representations of the Gauss hypergeometric function in the form of two double integrals by making use of Edwards's double integral. A particular case of our integral representation enables us to give another proof of a well known Gauss summation theorem. We also provide two further generalizations of the integral representations.
Citation
Wathek Chammam. Arjun K. Rathie. Mongia Khlifi. "A note on two new integral representations of the Gauss hypergeometric function with an application." Bull. Belg. Math. Soc. Simon Stevin 31 (3) 336 - 340, October 2024. https://doi.org/10.36045/j.bbms.231230
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