A General Method for Constructing Ramanujan-Type Formulas for Powers of 1/π

This article discusses the theoretical background for generating Ramanujan-type formulas for and constructs series for and . We also study the elliptic alpha function, whose values are useful for such evaluations. Introduction The standard definitions of the complete elliptic integrals of the first and second kind (see [1], [2], [3], [4]) are respectively: (1) In … Continue reading A General Method for Constructing Ramanujan-Type Formulas for Powers of 1/π