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<p>In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series are summable, then we evaluate these integral as beta integrals. In addition, we obtain integral representations for bilateral hypergeometric series.</p>

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Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月3日

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  • Howard S. Cohl,
  • Hans Volkmer

摘要

In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series are summable, then we evaluate these integral as beta integrals. In addition, we obtain integral representations for bilateral hypergeometric series.