A Proof that Zeilberger Missed: A New Proof of an Identity by Chaundy and Bullard based on the WZ Method

TL;DR

This paper presents a concise new proof of a mathematical identity by Chaundy and Bullard, utilizing the Wilf-Zeilberger (WZ) method, offering a novel approach to a classical problem.

Contribution

It introduces a succinct proof of Chaundy and Bullard's identity using the WZ method, filling a gap in existing proofs.

Findings

New proof based on WZ theory

Simplifies understanding of the identity

Highlights the power of WZ method in combinatorics

Abstract

In this paper, based on the WZ theory, a very succinct new proof, of an identity by Chaundy and Bullard, was given.