Accurate, short series approximations to Fermi–Dirac integrals of order −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2
- 15 June 1985
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 57 (12) , 5271-5274
- https://doi.org/10.1063/1.335269
Abstract
Short series approximations based on the classical series expansions of the Fermi‐Dirac integrals Fj(x) are presented for the orders −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2. The approximations are accurate to better than 1 part in 105 over the range − ∞ <x< ∞ .This publication has 3 references indexed in Scilit:
- A generalized approximation of the Fermi–Dirac integralsJournal of Applied Physics, 1983
- Approximations for Fermi-Dirac integrals, especially the function F12(η) used to describe electron density in a semiconductorSolid-State Electronics, 1982
- Approximations to Fermi-Dirac integrals and their use in device analysisProceedings of the IEEE, 1982