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On a representation of Humbert's double hypergeometric series $Φ_3$ in a series of Gauss's $_2F_1$ function

Very recently a new series representation of Humbert's double hypergeometric series $Φ_3$ 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.

preprint2016arXivOpen access

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