Blackbody radiation functions and polylogarithms

Seán M. Stewart

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


A new method based on the polylogarithm function is used to derive an exact expression for the fractional emissive power of a blackbody in any arbitrary spectral band. Compared to all previously used methods the polylogarithm based method is unsurpassed in its simplicity. Displacement laws for the centroid of blackbody radiation in the linear wavelength and frequency spectral representations that make use of the polylogarithm based approach are also given.

Original languageEnglish
Pages (from-to)232-238
Number of pages7
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Issue number3
Publication statusPublished - Feb 1 2012


  • Blackbody radiation functions
  • Displacement laws
  • Lambert W function
  • Polylogarithms

ASJC Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy

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