Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order
Apstrakt
We find simple explicit closed-form formulas for the Fermi-Dirac function F(-n)(z) and Bose-Einstein function B(-n)(z) for arbitrary n is an element of N. The obtained formulas involve the higher tangent numbers defined by Carlitz and Scoville. We present some examples and direct consequences of applying the main results.
Ključne reči:
Fermi-Dirac function / Bose-Einstein function / Fermi-Dirac integral / Bose-Einstein integral / higher-order tangent number / order-k tangent numberIzvor:
Theoretical and Mathematical Physics, 2009, 161, 3, 1663-1668Finansiranje / projekti:
- Fizička hemija dinamičkih stanja i struktura neravnotežnih sistema - od monotone do oscilatorne evolucije i haosa (RS-MESTD-MPN2006-2010-142025)
- Ortogonalni sistemi i primene (RS-MESTD-MPN2006-2010-144004)
DOI: 10.1007/s11232-009-0153-9
ISSN: 0040-5779
WoS: 000273561600008
Scopus: 2-s2.0-76649121512
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3875 AB - We find simple explicit closed-form formulas for the Fermi-Dirac function F(-n)(z) and Bose-Einstein function B(-n)(z) for arbitrary n is an element of N. The obtained formulas involve the higher tangent numbers defined by Carlitz and Scoville. We present some examples and direct consequences of applying the main results. T2 - Theoretical and Mathematical Physics T1 - Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order VL - 161 IS - 3 SP - 1663 EP - 1668 DO - 10.1007/s11232-009-0153-9 ER -
@article{ author = "Cvijović, Đurđe", year = "2009", abstract = "We find simple explicit closed-form formulas for the Fermi-Dirac function F(-n)(z) and Bose-Einstein function B(-n)(z) for arbitrary n is an element of N. The obtained formulas involve the higher tangent numbers defined by Carlitz and Scoville. We present some examples and direct consequences of applying the main results.", journal = "Theoretical and Mathematical Physics", title = "Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order", volume = "161", number = "3", pages = "1663-1668", doi = "10.1007/s11232-009-0153-9" }
Cvijović, Đ.. (2009). Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order. in Theoretical and Mathematical Physics, 161(3), 1663-1668. https://doi.org/10.1007/s11232-009-0153-9
Cvijović Đ. Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order. in Theoretical and Mathematical Physics. 2009;161(3):1663-1668. doi:10.1007/s11232-009-0153-9 .
Cvijović, Đurđe, "Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order" in Theoretical and Mathematical Physics, 161, no. 3 (2009):1663-1668, https://doi.org/10.1007/s11232-009-0153-9 . .