Back to Search Start Over

Pfaff's Method Revisited

Authors :
Dhar, Aritram
Publication Year :
2024

Abstract

In 1797, Pfaff gave a simple proof of a ${}_3F_2$ 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 $q$-hypergeometric series-product identities using Pfaff's method thereby providing a detailed account of its wide applicability.<br />Comment: 17 pages. Comments are welcome!

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2405.08705
Document Type :
Working Paper