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

2024/11/06 by Howard S. Cohl, Cohl, Howard, Hans Volkmer +1 · 2 citations
Mathematics · #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2411.03574

Abstract

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.

Cited by

• Inequalities involving a Ramanujan Integral
• The q-Laplace Transforms compared: the basic confluent hypergeometric function ₂ϕ₀

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