More Ramanujan--Orr Formulas for 1/pi

New Zealand Journal of Mathematics (Online)

Jesus Guillera

关键词: Hypergeometric series;    Orr transformations;    Ramanujan series for $1/\pi$;    Complete elliptic integral;    Legendre's relation.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

In a previous paper we proved some Ramanujan--Orr formulas for 1 /but we could not prove some others. In this paper we give a variant of the method, prove several more series for 1 /of this type and explain an experimental test which helps to discover the proofs.

【 授权许可】

Unknown