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Eulerian Log-Gamma Integrals and Tornheim-Witten zeta functions

Bailey, David H. and Borwein, David and Borwein, Jonathan M. (2015) Eulerian Log-Gamma Integrals and Tornheim-Witten zeta functions. Ramanujan (36). pp. 43-68.

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    Abstract

    Stimulated by earlier work by Moll and his coworkers [1], we evaluate various basic log Gamma integrals in terms of partial derivatives of Tornheim– Witten zeta functions and their extensions arising from evaluations of Fourier series. In particular, we fully evaluate LGn = Z 1 0 logn Γ(x) dx for 1 ≤ n ≤ 4 and make some comments regarding the general case. The subsidiary computational challenges are substantial, interesting and significant in their own right.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 05 Sep 2016 21:14
    Last Modified: 05 Sep 2016 21:14
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1747

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