Pfaff's Method Revisited

Aritram Dhar

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arXiv · 2405.08705

Pfaff's Method Revisited

Aritram Dhar

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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.

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Aritram Dhar. 2025-05-04. Pfaff's Method Revisited. https://arxiv.org/abs/2405.08705

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