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Abstract <p>In this paper, for the confluent hypergeometric function <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb{E}_{1}\)</EquationSource> <!--LobJMat2561255Hasanov-m3--> </InlineEquation> 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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. Hasanov,
  • T. K. Yuldashev

摘要

Abstract

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.