De termino generali serierum hypergeometricarum
History and Overview
2012-01-27 v1
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.
Cite
@article{arxiv.1201.5631,
title = {De termino generali serierum hypergeometricarum},
author = {Leonhard Euler and Artur Diener and Alexander Aycock},
journal= {arXiv preprint arXiv:1201.5631},
year = {2012}
}