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Moments of Products of Elliptic Integrals

Published 6 Jan 2011 in math.CA and math.NT | (1101.1132v1)

Abstract: We consider the moments of products of complete elliptic integrals of the first and second kinds. In particular, we derive new results using elementary means, aided by computer experimentation and a theorem of W. Zudilin. Diverse related evaluations, and two conjectures, are also given.

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