Formulas for the approximation of the complete Elliptic Integrals

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.

6 pages

References in corpus (1)

• Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8