# Mellin transform

In

mathematics, the

**Mellin transform** is a kind of multiplicative analogue of the

Fourier transform. It is closely connected to the theory of

Dirichlet series
The Mellin transform of a function *f* is

The inverse transform is

The notation implies this is a

contour integral taken over a vertical line in the complex plane.

The transform is named after the Finnish mathematician Robert Hjalmar Mellin (1854 - 1933).