Polypseudologarithms revisited
Апстракт
Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions. Li(s)(z). It is aimed here to investigate the functions Li(s)(z), for s = 0, -1, -2, which are, following Lee. referred to as the polypseudologarithms (or polypseudologs) of order n equivalent to -s Various known results regarding polypseudologs, mainly obtained in widely differing contexts and currently scattered throughout the literature, have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In addition, a new general explicit closed-form formula for these functions involving the Carlitz-Scoville higher tangent numbers has been established (C) 2009 Elsevier B.V. All rights reserved.
Кључне речи:
Polylogarithms / Polypseudologarithms / Stirling numbers of second kind / Eulerian numbers / Higher tangent numbersИзвор:
Physica A: Statistical Mechanics and Its Applications, 2010, 389, 8, 1594-1600Финансирање / пројекти:
- Ministry of Science of the Republic of Serbia [142025, 144004]
DOI: 10.1016/j.physa.2009.12.041
ISSN: 0378-4371
WoS: 000274954200010
Scopus: 2-s2.0-75049083295
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3918 AB - Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions. Li(s)(z). It is aimed here to investigate the functions Li(s)(z), for s = 0, -1, -2, which are, following Lee. referred to as the polypseudologarithms (or polypseudologs) of order n equivalent to -s Various known results regarding polypseudologs, mainly obtained in widely differing contexts and currently scattered throughout the literature, have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In addition, a new general explicit closed-form formula for these functions involving the Carlitz-Scoville higher tangent numbers has been established (C) 2009 Elsevier B.V. All rights reserved. T2 - Physica A: Statistical Mechanics and Its Applications T1 - Polypseudologarithms revisited VL - 389 IS - 8 SP - 1594 EP - 1600 DO - 10.1016/j.physa.2009.12.041 ER -
@article{ author = "Cvijović, Đurđe", year = "2010", abstract = "Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions. Li(s)(z). It is aimed here to investigate the functions Li(s)(z), for s = 0, -1, -2, which are, following Lee. referred to as the polypseudologarithms (or polypseudologs) of order n equivalent to -s Various known results regarding polypseudologs, mainly obtained in widely differing contexts and currently scattered throughout the literature, have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In addition, a new general explicit closed-form formula for these functions involving the Carlitz-Scoville higher tangent numbers has been established (C) 2009 Elsevier B.V. All rights reserved.", journal = "Physica A: Statistical Mechanics and Its Applications", title = "Polypseudologarithms revisited", volume = "389", number = "8", pages = "1594-1600", doi = "10.1016/j.physa.2009.12.041" }
Cvijović, Đ.. (2010). Polypseudologarithms revisited. in Physica A: Statistical Mechanics and Its Applications, 389(8), 1594-1600. https://doi.org/10.1016/j.physa.2009.12.041
Cvijović Đ. Polypseudologarithms revisited. in Physica A: Statistical Mechanics and Its Applications. 2010;389(8):1594-1600. doi:10.1016/j.physa.2009.12.041 .
Cvijović, Đurđe, "Polypseudologarithms revisited" in Physica A: Statistical Mechanics and Its Applications, 389, no. 8 (2010):1594-1600, https://doi.org/10.1016/j.physa.2009.12.041 . .