# A hypergeometric proof for a binomial identity related to $1/\pi$

**Authors:** Benjamin Hackl, Helmut Prodinger

arXiv: 1907.08680 · 2019-07-23

## TL;DR

This paper presents a hypergeometric proof for a binomial identity connected to series expansions of 1/π, linking it to Whipple's second theorem for hypergeometric series.

## Contribution

It provides a novel hypergeometric proof of a binomial identity related to 1/π series, connecting it to classical hypergeometric theorems.

## Key findings

- Identifies a binomial identity as an instance of Whipple's second theorem
- Establishes a hypergeometric framework for understanding 1/π series expansions
- Bridges combinatorial identities with hypergeometric function theory

## Abstract

We show that a binomial identity arising in the context of the study of series expansions of $1/\pi$ can be seen as an incarnation of Whipples second theorem for hypergeometric series.

## Full text

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## References

2 references — full list in the complete paper: https://tomesphere.com/paper/1907.08680/full.md

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Source: https://tomesphere.com/paper/1907.08680