Inverse Mellin Transform of Holonomic Sequences

Abstract

We describe a method to compute the inverse Mellin transform of holonomic sequences, that is based on a method to compute the Mellin transform of holonomic functions. Both methods are implemented in the computer algebra package HarmonicSums.

References in corpus (3)

• A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
• Computer Algebra Algorithms for Special Functions in Particle Physics
• Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra

Cited by in corpus (4)

• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson
• Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package