A new method is presented to determine the gluon density in the proton from jet production in deep inelastic scattering By using the technique of Mellin transforms not only for the solution of the scale evolution equation of the parton densities but also for the evaluation of scattering cross sections the gluon density can be extracted in next to leading order NLO QCD This method is however mor...

The use of Fourier transforms for deriving probability densities of sums and differences of random variables is well known. The use of Mellin transforms to derive densities for products and quotients of random variables is less well known. We present the relationship between the Fourier and Mellin transform, and discuss the use of these transforms in deriving densities for algebraic combination...

We consider the state of stress created by presence an edge dislocation at arbitrary position, in a wedge internal angle. A method for determining is demonstrarted and verified against finite element simulations. Furthermore, Mellin transform employed to ensure that free surfaces remain traction along their length.

An asymptotic expression for the expected area of the union of n random rectangles is derived by Mellin transforms, where their two diagonal corners are independently and uniformly distributed over (0, 1). The general result for d-dimensional hyper-rectangles is also stated. COMPUTATIONAL GEOMETRY, CONVEX HULL, GEOMETRIC PROBABILITY, GEOMETRY OF RECTANGLES, MELLIN TRANSFORM, CALCULUS OF FINITE ...