Mellin transform and Riemann zeta

The Endeavour 2024-10-26

Summary:

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.

Link:

https://www.johndcook.com/blog/2024/10/25/mellin-transform-and-riemann-zeta/

From feeds:

Statistics and Visualization » The Endeavour

Tags:

math

Authors:

John

Date tagged:

10/26/2024, 02:06

Date published:

10/25/2024, 16:23