Source: wikibot/bohr-mollerup-theorem
= Bohr–Mollerup theorem
{wiki=Bohr–Mollerup_theorem}
The Bohr–Mollerup theorem is a result in mathematical analysis that characterizes the gamma function among other functions. Specifically, it provides a characterization of the gamma function using properties of a specific class of functions. The theorem states that if a function \\( f : (0, \\infty) \\to \\mathbb\{R\} \\) satisfies the following conditions: 1. \\( f(x) \\) is continuous on \\( (0, \\infty) \\).