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arXiv · 1912.10441

Further summation formulas for the Kamp\'e de F\'eriet function

Junesang Choi·Arjun K. Rathie
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Abstract

The aim of this research is to provide thirty-two interesting summation formulas for the Kamp\'e de F\'eriet function in general forms, which are given in sixteen theorems. The results are established with the help of the identities in Liu and Wang \cite{Li-Wa} and generalizations of Kummer's summation theorem, Gauss' second summation theorem and Bailey's summation theorem obtained earlier by Rakha and Rathie \cite{Ra-Ra}. Some special cases and relevant connections of the results presented here with those involving certain known identities are also indicated.

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BibTeXRIS

Junesang Choi, Arjun K. Rathie. 2019-12-22. Further summation formulas for the Kamp\'e de F\'eriet function. https://arxiv.org/abs/1912.10441

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