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Note on Srivastava's triple hypergeometric series $H_A$ and $H_C$

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Abstract

The aim of this note is to consider some interesting reducible cases of $H_A$ and $H_C$ introduced by Srivastava who actually noticed the existence of three additional complete triple hypergeometric functions $H_A$, $H_B$, and $H_C$ of the second order in the course of an extensive investigation of Lauricella's fourteen hypergeometric functions of three variables.

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