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Formulas for the approximation of the complete Elliptic Integrals (1104.4798v1)
Published 25 Apr 2011 in math.GM
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.