On an identity by Chaundy and Bullard. II. More history
Classical Analysis and ODEs
2012-11-30 v2 History and Overview
Abstract
An identity by Chaundy and Bullard writes 1/(1-x)^n (n=1,2,...) as a sum of two truncated binomial series. In a paper which appeared in 2008 in Indag. Math. the authors surveyed many aspects of this identity. In the present paper we discuss much earlier occurrences of this identity in works by Hering (1868), de Moivre (1738) and de Montmort (1713). A relationship with Krawtchouk polynomials in work by Greville (1966) is also discussed.
Keywords
Cite
@article{arxiv.1205.6362,
title = {On an identity by Chaundy and Bullard. II. More history},
author = {Tom H. Koornwinder and Michael J. Schlosser},
journal= {arXiv preprint arXiv:1205.6362},
year = {2012}
}
Comments
8 pages, in v2 slightly more material added