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<p>We consider the problem of extension of Lauricella–Saran’s hypergeometric functions <i>F</i><sub><i>M</i></sub> by branched continued fractions. In three-dimensional complex space, we establish the domain of analytic continuation of Lauricella–Saran’s hypergeometric functions <i>F</i><sub><i>M</i></sub> and their ratios.</p>

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On the Domain of Analytic Extension of Lauricella–Saran’s Hypergeometric Functions FM and their Ratios

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • Roman Dmytryshyn,
  • Ivan Nyzhnyk

摘要

We consider the problem of extension of Lauricella–Saran’s hypergeometric functions FM by branched continued fractions. In three-dimensional complex space, we establish the domain of analytic continuation of Lauricella–Saran’s hypergeometric functions FM and their ratios.