Mellin transform and Riemann zeta

1 · John Cook · Oct. 25, 2024, 8:37 p.m.
The Mellin transform of a function f is defined as For example, it follows directly from the definition that the gamma function Γ(s) is the Mellin transform of the function e−x. I ran across an exercise that states an impressive-looking theorem about the Mellin transform, namely that where F(s) denotes the Mellin transform of f(x). […] The post Mellin transform and Riemann zeta first appeared on John D. Cook....