# Analytic continuation of Mellin transforms up to two-loop order

## Description

Abstract The analytic continuation of the Mellin transforms to complex values of N for the basic functions g_i (x) of the momentum fraction x emerging in the quantities of massless QED and QCD up to two-loop order, as the unpolarized and polarized splitting functions, coefficient functions, and hard scattering cross sections for space- and time-like momentum transfer are evaluated. These Mellin transforms provide the analytic continuations of all finite harmonic sums up to the level of the threefold s... Title of program: ANCONT v1.0 Catalogue Id: ADMU_v1_0 Nature of problem Calculation of the analytic continuation of the Mellin transforms to complex values of N for the basic functions gi(x) emerging in the splitting and coefficient functions of massless QED and QCD up to two-loop order. Versions of this program held in the CPC repository in Mendeley Data ADMU_v1_0; ANCONT v1.0; 10.1016/S0010-4655(00)00156-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)