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arxiv: 1101.1132 · v1 · pith:S5J4WAGLnew · submitted 2011-01-06 · 🧮 math.CA · math.NT

Moments of Products of Elliptic Integrals

classification 🧮 math.CA math.NT
keywords ellipticintegralsmomentsproductsaidedcompletecomputerconjectures
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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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