The~Bloch--Gruneisen function of arbitrary order and its series representations
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 44-50
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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
Keywords:
Bloch–Gruneisen formula, Bloch–Gruneisen function, Bose–Einstein function, incomplete gamma function, electrical resistivity.
Mots-clés : Debye function, polylogarithm
Mots-clés : Debye function, polylogarithm
@article{TMF_2011_166_1_a2,
author = {D. Cvijovi\'c},
title = {The~Bloch--Gruneisen function of arbitrary order and its series representations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {44--50},
publisher = {mathdoc},
volume = {166},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a2/}
}
TY - JOUR AU - D. Cvijović TI - The~Bloch--Gruneisen function of arbitrary order and its series representations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2011 SP - 44 EP - 50 VL - 166 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a2/ LA - ru ID - TMF_2011_166_1_a2 ER -
D. Cvijović. The~Bloch--Gruneisen function of arbitrary order and its series representations. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 44-50. http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a2/