Mellin Inversion Formula

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Mellin Inversion Formula


an invertible transformation of functions given by the formulas


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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
To estimate the sum g(n) and hence [f.sub.n] we use the Mellin inversion formula,
Next we apply the Mellin inversion formula to recover f(t):