ZIB

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Analytical Expansion and Numerical Approximation of the Fermi–Dirac Integrals $$F$$ j(x) of Order j=−1/2 and j=1/2 (2000)

Lether, Frank G.

Springer

Journal of scientific computing 15 (2000), S. 479-497

add to mindlist on the mindlist

Details

ISSN: 1573-7691

Keywords: Fermi–Dirac integral ; Randles–Sevcik function ; semiintegral ; semiderivative ; electrochemistry

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: Abstract This paper uses properties of the Weyl semiintegral and semiderivative, along with Oldham's representation of the Randles–Sevcik function from electrochemistry, to derive infinite series expansions for the Fermi–Dirac integrals $$F$$ j (x), −∞〈x〈∞, j=−1/2, 1/2. The practical use of these expansions for the numerical approximation of $$F$$ −1/2(x) and $$F$$ 1/2(x) over finite intervals is investigated and an extension of these results to the higher order cases j=3/2, 5/2, 7/2 is outlined.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1011136831736

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit