ASYMPTOTIC-EXPANSION OF A CLASS OF FERMI-DIRAC INTEGRALS

被引：3

作者：

BOERSMA, J ^{[1
]}

GLASSER, ML ^{[1
]}

机构：

[1] CLARKSON UNIV,SCH SCI,POTSDAM,NY 13676

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 03期

关键词：

FERMI-DIRAC INTEGRAL; ASYMPTOTIC EXPANSION; RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL; LAPLACE TRANSFORM; ABELIAN ASYMPTOTICS;

D O I：

10.1137/0522051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A procedure is presented for obtaining the complete asymptotic expansion of a class of fractional integrals (of Riemann-Liouville type), in which the integrand contains the product of two derivatives of the Fermi-Dirac integral. The procedure uses two-sided Laplace transforms and Abelian asymptotics of the inverse Laplace transform. The fractional integrals considered arise in various problems from statistical mechanics and solid state physics.

引用

页码：810 / 820

页数：11