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

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.

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Publication Details

Journal
The Ramanujan Journal
Published
2025-04-03
DOI
https://doi.org/10.1007/s11139-025-01064-z
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Hans Volkmer, Howard S. Cohl
The Ramanujan Journal
Advanced Mathematical Identities
article

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

Hans Volkmer, Howard S. Cohl
article en

Abstract

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.

The Ramanujan JournalVol. 67(2)
National Institute of Standards and Technology (US), University of Wisconsin–Milwaukee (US)
Openalex Percentile: Top 89%
Advanced Mathematical Identities
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