相对论性Fermi-Dirac积分的完全渐近展开
Complete asymptotic expansions for the relativistic Fermi-Dirac integral
摘要：
费米-狄拉克积分出现在核天体物理学、固态物理学或半导体建模的基础理论等应用领域的问题中。本文给出了相对论性Fermi-Dirac积分的新的完全渐近展开。这些展开可能有助于获得正确的定性理解费米系统。数值例子说明了扩展的性能。
英文摘要：
Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In this paper, we give new and complete asymptotic expansions for the relativistic Fermi-Dirac integral. These expansions could be useful to obtain a correct qualitative understanding of Fermi systems. The performance of the expansions is illustrated with numerical examples.
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