Physics – Mathematical Physics
Scientific paper
2010-10-31
Physica A 389 (2010), 1594-1600
Physics
Mathematical Physics
10 pages
Scientific paper
10.1016/j.physa.2009.12.041
Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions, $\textup{Li}_{s} (z)$. It is aimed here to investigate the functions $\textup{Li}_{s} (z),$ for $s = 0, -1, -2, ...,$ which are, following Lee, referred to as the polypseudologarithms (or polypseudologs) of order $n$. 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.
No associations
LandOfFree
Polypseudologarithms revisited does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Polypseudologarithms revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polypseudologarithms revisited will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-663975