4.1 Article

The Bloch-Gruneisen function of arbitrary order and its series representations

Journal

THEORETICAL AND MATHEMATICAL PHYSICS
Volume 166, Issue 1, Pages 37-42

Publisher

SPRINGER
DOI: 10.1007/s11232-011-0003-4

Keywords

Bloch-Gruneisen formula; Bloch-Gruneisen function; Bose-Einstein function; Debye function; polylogarithm; incomplete gamma function; electrical resistivity

Funding

  1. Ministry of Science of the Republic of Serbia [142025, 144004]

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We derive several series representations for the Bloch-Gruneisen function of an arbitrary (integer or noninteger) order and show that it is related to other, more familiar special functions more commonly used in mathematical physics. In particular, the Bloch-Gruneisen function of integer order is expressible in terms of the Bose-Einstein function of different orders.

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