Representing Spence's integral by elementary functions

K. Raman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An interesting connection exists between Spence's integral, used in Feynman diagrams in particle physics, and the variance of the reciprocal of a geometric random variable, used in probability theory. This linkage leads to approximate representations for Spence's integral over the unit interval which works well in practice. The result shows how the interplay between probability and physics can bear pragmatic fruit.

Original languageEnglish (US)
Pages (from-to)103-107
Number of pages5
JournalApplied Mathematics Letters
Issue number3
StatePublished - May 1996


  • Applied probability
  • Approximation
  • Differential equations
  • Dilogarithm function
  • Feynman diagrams
  • Particle physics
  • Spence's integral

ASJC Scopus subject areas

  • Applied Mathematics


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