Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
February 20, 2000International Journal of Modern Physics AOpen Access

Harmonic Polylogarithms

View Full Paper
Ask AI
Bookmark
Share

Authors

ERE. RemiddiIstituto Nazionale di Fisica Nucleare, Sezione di BolognaJVJ. A. M. VermaserenNorthern Illinois University

Discussion

Loading...

Member takes

Implication

Introduces harmonic polylogarithms, detailing their algebraic properties and transformations.

Key Points

  • The aim is to introduce harmonic polylogarithms and explore their algebraic properties and expansions.
  • Defined harmonic polylogarithms as a generalization of Nielsen's polylogarithms.
  • Demonstrated the product algebra property where the product of two harmonic polylogarithms results in combinations of harmonic polylogarithms.
  • Identified that the coefficients of their expansions and their Mellin transforms are harmonic sums.
  • Harmonic polylogarithms are closed under specific argument transformations x=1/z and x=(1-t)/(1+t).
  • Confirmed the existence of a product algebra property among harmonic polylogarithms.
  • Established a relationship between the coefficients of expansions and harmonic sums.

Cite This Study

Remiddi et al. (2000) studied this question.

synapsesocial.com/papers/69dff8b5ca6b6a26158608dahttps://doi.org/10.1142/s0217751x00000367
View Full Paper
Ask AI
Bookmark
Share