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Gamma triads

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Abstract

Although values of the gamma function have been evaluated only at the integers and the half-integers, some products of three gamma functions, evaluated at rational numbers, can be expressed in closed form. The goal of this paper is to produce an exhaustive list of such gamma identities. The search for gamma identities is converted into a linear algebra problem, which can be implemented on a computer to find all gamma identities of a certain type. In the process, we discover some identities that are believed to be new.

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  1. Arkansas State University, Jonesboro, USA

    William Paulsen

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  1. William Paulsen
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Correspondence to William Paulsen.

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Paulsen, W. Gamma triads. Ramanujan J 50, 123–133 (2019). https://doi.org/10.1007/s11139-018-0114-8

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  • DOI: https://doi.org/10.1007/s11139-018-0114-8

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