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De termino generali serierum hypergeometricarum

2012/01/26 by Leonhard Euler, Euler, Leonhard, Artur Diener +3
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.1201.5631

openalex publication_date 2012/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Euler defines a function f(x) somehow as an infinite product and a generalization of [x], where [x] ist, what we now call following Legendre the Gamma-Funktion. He gets some recursive relationships for f(x), by applying some very nice tricks and using the asymptotics of the infinite products. The paper is translated from Latin into German.

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