A new Ramanujan-like series for $1/\pi^2$

TL;DR

This paper presents a novel Ramanujan-like series for 1/π², proved using the WZ method, along with a hypergeometric identity involving three series, expanding the understanding of series representations for 1/π².

Contribution

It introduces a new Ramanujan-like series for 1/π² and provides a WZ-proof and a hypergeometric identity, which are novel contributions in the field.

Findings

A new Ramanujan-like series for 1/π²

A hypergeometric identity involving three series

WZ-proof of the series

Abstract

Our main results are a WZ-proof of a new Ramanujan-like series for $1/\pi^2$ and a hypergeometric identity involving three series.