Mellin Inversion Formula

Mellin Inversion Formula

 

an invertible transformation of functions given by the formulas

and

It is used in some problems in analysis and in analytic number theory. First noted by the German mathematician B. Riemann in 1859, it was examined in detail by the Finnish mathematician R. H. Mellin in 1902.

References in periodicals archive ?
Next we apply the Mellin inversion formula to recover f(t):