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arXiv · 1104.4798

Formulas for the approximation of the complete Elliptic Integrals

Nikos Bagis
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Abstract

In this article we give evaluations of the two complete elliptic integrals $K$ and $E$ in the form of Ramanujans type-$\pi$ formulas. The result is a formula for $\Gamma(1/4)^2\pi^{-3/2}$ with accuracy about 120 digits per term.

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Nikos Bagis. 2011-04-25. Formulas for the approximation of the complete Elliptic Integrals. https://arxiv.org/abs/1104.4798

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