The Bloch-Gruneisen function of arbitrary order and its series representations
Abstract
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 / Debye function / polylogarithm / incomplete gamma function / electrical resistivitySource:
Theoretical and Mathematical Physics, 2011, 166, 1, 37-42Funding / projects:
- Ministry of Science of the Republic of Serbia [142025, 144004]
DOI: 10.1007/s11232-011-0003-4
ISSN: 0040-5779
WoS: 000287245500003
Scopus: 2-s2.0-79951499570
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Institution/Community
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2011 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4222 AB - 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. T2 - Theoretical and Mathematical Physics T1 - The Bloch-Gruneisen function of arbitrary order and its series representations VL - 166 IS - 1 SP - 37 EP - 42 DO - 10.1007/s11232-011-0003-4 ER -
@article{ author = "Cvijović, Đurđe", year = "2011", abstract = "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.", journal = "Theoretical and Mathematical Physics", title = "The Bloch-Gruneisen function of arbitrary order and its series representations", volume = "166", number = "1", pages = "37-42", doi = "10.1007/s11232-011-0003-4" }
Cvijović, Đ.. (2011). The Bloch-Gruneisen function of arbitrary order and its series representations. in Theoretical and Mathematical Physics, 166(1), 37-42. https://doi.org/10.1007/s11232-011-0003-4
Cvijović Đ. The Bloch-Gruneisen function of arbitrary order and its series representations. in Theoretical and Mathematical Physics. 2011;166(1):37-42. doi:10.1007/s11232-011-0003-4 .
Cvijović, Đurđe, "The Bloch-Gruneisen function of arbitrary order and its series representations" in Theoretical and Mathematical Physics, 166, no. 1 (2011):37-42, https://doi.org/10.1007/s11232-011-0003-4 . .
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