Analytical expansion and numerical approximation of the fermi-dirac integrals Fj(x) of order j = - 1/2 and j = 1/2

Journal of Scientific Computing

Volumn 15, Issue 4, 2001, Pages 479-497

  Lether, F G ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

Electrochemistry; Fermi dirac integral; Randles sevcik function; Semiderivative; Semiintegral

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DIGITAL ARITHMETIC; ELECTROCHEMISTRY; FUNCTIONS; INTEGRATION; POLYNOMIALS;

FERMI-DIRAC INTEGRALS; RANDLES-SEVCIK FUNCTION; SEMIDERIVATIVE; SEMIINTEGRAL;

INTEGRAL EQUATIONS;

EID: 0034435342     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011136831736     Document Type: Article

References (21)

1. 1/2(x) used to describe electron density in a semiconductor
2. Numerical evaluation of the Fermi-Dirac integrals
3. Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, +1/2 and 3/2
4. The Fermi-Dirac integrals
5. j(x) over the entire domain of real j and x
6. Algorithm 745: Computation of the complete and incomplete Fermi-Dirac integral
7. An algorithm for the numerical evaluation of the reversible Randles-Sevcik function
8. A note on the Randles-Sevcik function in electrochemistry
9. Algorithm 779: Fermi-Dirac functions of order -1/2, 1/2, 3/2, 5/2
10. The computation of Fermi-Dirac functions
11. The accurate numerical evaluation of half-order Fermi-Dirac integrals
12. The reformulation of an infinite sum via semiintegration
13. Tables of semiintegrals
14. Accurate short series approximations to the Fermi-Dirac integrals of order - 1/2, 1/2, 3/2, 2, 5/2, 3, and 7/2
15. Erratum: Accurate short series approximations to the Fermi-Dirac integrals of order -1/2, 1/2, 3/2, 2, 5/2, 3, and 7/2
16. A comparison of some approximations for the Fermi-Dirac integral of order +1/2