Abstract

The main theme of the present paper is to establish a formula for calculating the Inverse Laplace transformation of functions of the form p1(s)/pn(s) F[(p1(s))2. This result is used to obtain the Inverse Laplace transforms...

In 2007, the author published some results on n-dimensional Laplace transform involved with the Fourier sine transform. In this paper, we propose some new result in n-dimensional Laplace transforms involved with Fourier cosine transform...

In 1990, Balakrishnan proves some results on two dimensional Laplace transform involved with

Fourier Sine transform. In this paper we present a generalized version of the above results in n-

dimensional case. In addition, some examples...

Using the repeated Laplace transform, we find an analytical solution for Dokshitzer-Gribov-Lipatov-

Altarelli-Parisi evolution equations for extracting the pion, kaon, and proton fragmentation functions at...

With an analytical solutions of DGLAP evolution equations based on the Laplace transform method, we find the fragmentation functions (FFs) of neutral mesons, π0π0 and k0k0 at NLO approximation. We also calculated the total fragmentation functions...

operators and $\\Phi$ be a positive linear functional on $\\mathbb{B}(\\mathcal{H})$‎. ‎We show ‎that,‎ if $f$ is a non-negative operator decreasing function‎, ‎then the function $t\\rightarrow \\Phi\\left(f(A+tB)\\right)$ can be written as a Laplace...