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Journal of Mathematical Physics / Volume 21 / Issue 1

J. Math. Phys. 21, 14 (1980); http://dx.doi.org/10.1063/1.524339 (1 page)

The Planck integral cannot be evaluated in terms of a finite series of elementary functions

Richard Pavelle

Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Massachusetts 02173

It is shown that the Planck integral cannot be evaluated in terms of a finite series of elementary functions. A relation is first established between the Planck and dilogarithm integrals. To prove nonintegrability the Risch decision procedure for elementary functions is then applied to the dilogarithm integral.

ERRATUM

  1. Erratum: The Planck integral cannot be evaluated in terms of a finite series of elementary functions [J. Math. Phys. 21, 14(1980)]
    Richard Pavelle
    J. Math. Phys. 21, 2313 (1980)JMAPAQ000021000008002313000002

KEYWORDS and PACS

Keywords

FUNCTIONS, ALGORITHMS, SERIES EXPANSION, PLANCK RADIATION FORMULA

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524339

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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