A parametric class of series generated by integration of complete elliptic integrals is valuated in closed form. Alternative proofs to results of Ramanujan and others are given. Also, a particular case of the Saalschützian hypergeometric series is derived.
Cite this article
V.S. Adamchik, A Certain Series Associated with Catalan’s Constant. Z. Anal. Anwend. 21 (2002), no. 3, pp. 817–826DOI 10.4171/ZAA/1110