Mellin transform


Also found in: Wikipedia.

Mellin transform

[me′lēn ‚tranz‚fȯrm]
(mathematics)
The transform F (s) of a function ƒ(t) defined as the integral over t from 0 to ∞ of ƒ(t) t s-1.
References in periodicals archive ?
Now, evaluating the Mellin transform of [t.sup.[??]+vn-1] using formula given by Mathai et al.
Gong, "Novel optical image encryption scheme based on fractional Mellin transform," Optics Communications, vol.
The Mellin transform of the function f is defined by
Bayram and others used Fourier Mellin Transform to represent the blocks [5].
In the present paper we point out the deep connections between of our iterated operators and the generalized Hadamard integrals, introduced firstly in [22], and widely used in Mellin analysis, especially in fractional calculus in Mellin transform setting (see e.g.
Using the Mellin transform, we find asymptotic expressions for these averages.
Alternately, characteristic function of the second kind, derived using Mellin transform, can be used to find the stochastic properties of nonnegative random variables [1].
Compared to most transform-based techniques which are linear in nature, the fractional Mellin transform (FrMT) is a nonlinear transform and could potentially provide security against most known attacks [17, 31].
Furthermore, using the second-kind statistics theory developed by Nicolas [30], which relies on the Mellin transform, i.e., "method-of-log-cumulants" (MoLC), we derive the parameter estimators of the new distribution model.
The leading order term is expressed in the form of inverse Mellin transform. The transformant crucially depends on the parameter [chi] = k[[[rho].sup.t].sup.3/2] [[rho].sup.-1/2] which characterizes the rate of elongation of the body.
In some cases, there are some methods to solve fractional partial differential equations and get the analytical solutions [12], such as Fourier transform methods, Laplace transform methods, Mellin transform methods, the method of images, and the method of separation of variables.