Moments of Products of Elliptic Integrals

Details Moments of Products of Elliptic Integrals Moments of Products of Elliptic Integrals

2011-01-06

arxiv.org/abs/1101.1132v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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