Harmonic sums, Mellin transforms and Integrals

@article{Vermaseren1999HarmonicSM,
  title={Harmonic sums, Mellin transforms and Integrals},
  author={J. Vermaseren},
  journal={International Journal of Modern Physics A},
  year={1999},
  volume={14},
  pages={2037-2076}
}
  • J. Vermaseren
  • Published 1999
  • Physics
  • International Journal of Modern Physics A
  • 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… CONTINUE READING
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    References