De termino generali serierum hypergeometricarum
  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. 
Leonhard Euler, Artur Diener, Alexander Aycock
math.HO