Timeline

Louis Franois Antoine Arbogast (1759 - 1803) introduced factorial

Leonhard Euler (1707-1783). Gamma function Adrien-Marie Legendre (1752-1833), Carl Friedrich Gauss (1777-1855) Cristoph Gudermann (1798-1852) Joseph Liouville (1809-1882) Karl Weierstrass (1815-1897) Charles Hermite (1822 - 1901) A. A. Markov (1856-1922)

use of the notation for the Gamma function by Legendre in 1839.

The ﬁrst Eulerian integral was introduced by Euler and is typically referred to by its more common name, the Beta function. The use of the Beta symbol for this function was ﬁrst used in 1839 by Jacques P.M. Binet (1786 - 1856).

At the same time as Legendre and Gauss, Cristian Kramp (1760 - 1826) worked on the generalized factorial function as it applied to non-integers. His work on factorials was in- dependent to that of Stirling, although Sterling often receives credit for this eﬀort. He did achieve one “ﬁrst” in that he was the ﬁrst to use the notation n! although he seems not to be remembered today for this widely used mathematical notation3.

Stirling’s Formula,