Euler and the Multiplication Formula for the Gamma Function

2019/01/10 by Aycock, Alexander
#FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.1901.03400

Abstract

We show that an apparently overlooked result of Euler from \citeE421 is essentially equivalent to the general multiplication formula for the Γ-function that was proven by Gauss in \citeGa28.

Related

• Euler and the Duplication Formula for the Gamma-Function
• Multiplication Formulas for the Elliptic Gamma Function
• Euler and the Gammafunction
• A class of generalized gamma functions
• Expressions for values of the gamma function