Pfaff's Method Revisited
Number Theory
2025-05-06 v4 Classical Analysis and ODEs
Abstract
In 1797, Pfaff gave a simple proof of a hypergeometric series summation formula which was much later reproved by Andrews in 1996. In the same paper, Andrews also proved other well-known hypergeometric identities using Pfaff's method. In this paper, we prove a number of terminating -hypergeometric series-product identities using Pfaff's method thereby providing a detailed account of its wide applicability.
Cite
@article{arxiv.2405.08705,
title = {Pfaff's Method Revisited},
author = {Aritram Dhar},
journal= {arXiv preprint arXiv:2405.08705},
year = {2025}
}
Comments
17 pages. To appear in Contributions to Discrete Mathematics