Asymptotic expansion of a class of Fermi-Dirac integrals

J. Boersma, M.L. Glasser

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Abstract

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.
Original languageEnglish
Pages (from-to)810-820
JournalSIAM Journal on Mathematical Analysis
Volume22
Issue number3
DOIs
Publication statusPublished - 1991

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