Harmonic sums, Mellin transforms and Integrals

Details Harmonic sums, Mellin transforms and Integrals Harmonic sums, Mellin transforms and Integrals

1998-06-05

arxiv.org/abs/hep-ph/9806280v1

Int.J.Mod.Phys.A14:2037-2076,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages LaTeX, for programs, see http://norma.nikhef.nl/~t68/summer

Scientific paper

10.1142/S0217751X99001032

This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations. Together with results for the values of the higher harmonic series at infinity the presented algorithms can be used for the symbolic evaluation of whole classes of integrals that were thus far intractable. Also many of the sums that had to be evaluated seem to involve new results. Most of the algorithms have been programmed in the language of FORM. The resulting set of procedures is called SUMMER.

Affiliated with

Also associated with

No associations

Rating

Harmonic sums, Mellin transforms and Integrals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harmonic sums, Mellin transforms and Integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic sums, Mellin transforms and Integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483356