Integral transform is one of the techniques in function transformation methods. transforms have been interesting tools for solving different problems arising applied mathematics, mathematical physics and engineering science at least two centuries. We studied an extended fractional Mellin generalized sense. For this testing space E its dual E* are considered. investigated inversion formula by us...

A novel robust feature of speech signal has been proposed by us in [1]. The new feature is the modified Mellin transform of the log-spectra of speech signal and is short for MMTLS. Due to the scale invariance property of the modified Mellin transform, the MMTLS is insensitive to the vocal tract length of different speakers. Thus it is more appropriate for speakerindependent speech recognition t...

This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of ...

I report on a numerical program for the evolution of parton distributions. The program uses the Mellin-transform method with an optimized contour. Due to this optimized contour the program needs only a few evaluations of the integrand and is therefore extremely fast. In addition, the program can also be used to reproduce the results of the x-space method. T tle of program: partonevolution Versi...

Given a Lévy process L, we consider the so-called statistical Skorohod embedding problem of recovering the distribution of an independent random time T based on i.i.d. sample from LT . Our approach is based on the genuine use of the Mellin and Laplace transforms. We propose consistent estimators for the density of T, derive their convergence rates and prove their optimality. It turns out that t...

We outline a general method for obtaining the solution to the (t = 0) BFKL equation in the presence of transverse momentum cutoffs. A lower cutoff allows one to avoid integration over nonperturbative momenta and an upper one is needed from energy-momentum conservation. Our method allows for the inclusion of an arbitrary number of poles in the kernel and is applicable to any input distribution. ...

A plane static symmetric problem of theory elasticity for a piecewise homogeneous isotropic with an interface in the form sides angle, containing small-scale interfacial shear cracks at corner point and loaded internal semi-infinite crack, was considered. The exact solution to this constructed by Wiener-Hopf method combination apparatus Mellin integral transform. stress intensity factor tips de...