More hypergeometric identities related to Ramanujan-type series

Abstract

We find new hypergeometric identities which, in a certain aspect, are stron-ger than others of the same style found by the author in a previous paper. The identities in Section \ref{section-pi} are related to some Ramanujan-type series for $1/\pi$. We derive them by using WZ-pairs associated to some interesting formulas by Wenchang Chu. The identities we prove in Section \ref{section-pi2} are of the same style but related to Ramanujan-like series for $1/{\pi }^2$.

Identities for $1/p{i}^2$ are added

References in corpus (2)

• Mosaic supercongruences of Ramanujan-type
• Hypergeometric identities for 10 extended Ramanujan-type series