再论多项对数
Polypseudologarithms revisited
摘要：
李，在一系列的文件，描述了一个统一的制定统计热力学的理想量子气体方面的多对数函数，$\textup{Li}_{s} (z)$。它的目的是在这里调查的功能$\textup{Li}_{s} (z),$为$s = 0, -1, -2, ...,$，以下李，被称为polypropylidogarithms（或polypropylidogs）的顺序$n$。各种已知的结果polypeptidologs，主要是在广泛不同的背景下获得的，目前分散在整个文献中，已经汇集了许多新的结果和见解，他们都已经证明了一个简单而统一的方式。此外，还建立了一个新的包含Carlitz-Scoville高阶正切数的函数的一般显式闭式公式。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
