More hypergeometric identities related to Ramanujan-type series

TL;DR

This paper introduces new hypergeometric identities connected to Ramanujan-type series for 1/π and 1/π², derived using WZ-pairs and expanding the mathematical understanding of these series.

Contribution

The paper presents novel hypergeometric identities related to Ramanujan-type series, extending previous work and employing WZ-pairs for derivation.

Findings

New hypergeometric identities for 1/π and 1/π²

Stronger identities than previous related results

Connections to Ramanujan-like 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 $1/\pi^2$.