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Computation and theory of extended Mordell-Tornheim-Witten sums. Part II

Bailey, David H. and Borwein, Jonathan M. (2015) Computation and theory of extended Mordell-Tornheim-Witten sums. Part II. Journal of Approximation Theory, 189 . pp. 115-140. (In Press)

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    Abstract

    In [8] the current authors, along with the late and much-missed Richard Crandall (1947-2012), considered generalized Mordell{Tornheim{Witten (MTW) zeta-function values along with their derivatives, and explored connections with multiple-zeta values (MZVs). This en- tailed use of symbolic integration, high precision numerical integration, and some interesting combinatorics and special-function theory. The original motivation was to represent objects such as Eulerian log-gamma integrals; and all such integrals were expressed in terms of a MTW basis. Herein, we extend the research envisaged in [8] by analyzing the relations be- tween a signi�cantly more general class of MTW sums. This has required signi�cantly more subtle scienti�c computation and concomitant special function theory.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 16 Nov 2014 22:00
    Last Modified: 05 Sep 2016 21:03
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1494

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