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arxiv: 1201.5631 · v1 · pith:K2SS2X6Enew · submitted 2012-01-26 · 🧮 math.HO

De termino generali serierum hypergeometricarum

classification 🧮 math.HO
keywords infinitesomeapplyingasymptoticscalldefineseulerfollowing
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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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