A Certain Series Associated with Catalan’s Constant

The article is published in Zeitschrift fuer Analysis und ihre Anwendungen (ZAA)21(2002),1-10.


  • Abstract
  • A parametric class of series generated by integration of complete elliptic integrals is evaluated in closed form. Alternatives proofs to results of Ramanujan and others are given. A particular case of the Saalschutzian hypergeometric series ${_4}{F_3}(1)$ is derived.

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