Mellin transform

Etymology
Named after Finnish mathematician.

Noun

 * 1)  An integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform.
 * 2) * 2005, Robb J. Muirhead, Aspects of Multivariate Statistical Theory, John Wiley & Sons, page 303,
 * If $$X$$ is a positive random variable with density function $$f(x)$$, the Mellin transform $$M(s)$$ gives the $$(s - l)$$th moment of $$X$$. Hence Theorem 8.2.6 gives the Mellin transform of $$W$$ evaluated at $$s=h+1$$; that is,
 * $$M(h+1)=E(W^h)$$.
 * The inverse Mellin transform gives the density function of $$W$$.
 * The inverse Mellin transform gives the density function of $$W$$.