Analytic Continuation Formula for a Confluent Hypergeometric Function $$\boldsymbol{\mathbb{E}_{1}}$$ of Three Arguments

In this paper, for the confluent hypergeometric function $$\mathbb{E}_{1}$$ of three arguments, some new formulas of analytical continuation are derived. In this case, the methods of complex analysis are applied. Moreover, in obtaining the new formulas, the Srivastava function is used.

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