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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/934895

Title: An Apéry-like difference equation for Catalan's constant
Author/Creator: Zudilin, W.
Description: Applying Zeilberger’s algorithm of creative telescoping to a family of certain very-well-poised hypergeometric series involving linear forms in Catalan’s constant with rational coefficients, we obtain a second-order difference equation for these forms and their coefficients. As a consequence we derive a new way of fast calculation of Catalan’s constant as well as a new continued-fraction expansion for it. Similar arguments are put forward to deduce a second-order difference equation and a new continued fraction for ζ(4) = π⁴/90.
Relation: The Electronic Journal of Combinatorics Vol. 10
Relation: http://www.combinatorics.org/ojs/index.php/eljc/issue/archive
Date: 2003
Publisher: Electronic Journal of Combinatorics
Keyword(s): Catalan's constant; Apéry; difference equation; hypergeometric series
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/934895
Identifier: ISSN:1077-8926
Language: eng

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