Formulas for the approximation of the complete Elliptic Integrals

2011/04/25 by Bagis, Nikos
#11Y60 #33E05 #41A58 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1104.4798

Abstract

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

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