DocServer

Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant.

Borwein, David and Borwein, Jonathan M. and Glasser, Larry and Wan, James (2011) Moments of Ramanujan's generalized elliptic integrals and extensions of Catalan's constant. J. Math. Anal. Appl., 384 . pp. 478-496.

[img]
Preview
PDF - Accepted Version
Download (518Kb) | Preview

    Abstract

    We undertake a thorough investigation of the moments of Ramanujan’s alternative elliptic integrals and of related hypergeometric functions. Along the way we are able to give some surprising closed forms for Catalan-related constants and various new hypergeometric identities.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Dr David Allingham
    Date Deposited: 29 Oct 2012 17:33
    Last Modified: 03 Jan 2015 21:41
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1443

    Actions (login required)

    View Item