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arXiv · 1605.01820

On a representation of Humbert's double hypergeometric series $\Phi_3$ in a series of Gauss's $_2F_1$ function

Arjun K. Rathie·Victor V. Manako·Harsh Vardhan Harsh
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Abstract

Very recently a new series representation of Humbert's double hypergeometric series $\Phi_3$ in series of Gauss's $_2F_1$ function was given by one of us. The aim of this short research note is to provide an alternative proof of the result. A few interesting special cases are also given.

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Arjun K. Rathie, Victor V. Manako, Harsh Vardhan Harsh. 2016-05-06. On a representation of Humbert's double hypergeometric series $\Phi_3$ in a series of Gauss's $_2F_1$ function. https://arxiv.org/abs/1605.01820

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