Enhanced Computation of Polylogarithm aka de Jonquieres function
Uses closed form approximations to compute the polylogarithm Li_n(z) of a complex array z base n.
Description: % polylog - Computes the n-based polylogarithm of z: Li_n(z)
Approximate closed form expressions for the Polylogarithm aka de Jonquière's function are used. Computes reasonably faster than direct calculation given by SUM_{k=1 to Inf}[z^k / k^n] = z + z^2/2^n + ...
Usage: [y errors] = PolyLog(n,z)
Input: z < 1 : real/complex number or array or array
n > -4 : base of polylogarithm
Output: y ... value of polylogarithm
errors ... number of errors
Approximation should be correct up to at least 5 digits for |z| > 0.55
and on the order of 10 digits for |z| <= 0.55!
Please Note: z array input is possible but not recommended as precision might drop for big ranged z inputs (unresolved Matlab issue unknown to the author).
following V. Bhagat, et al., On the evaluation of generalized Bose–Einstein and Fermi–Dirac integrals, Computer Physics Communications, Vol. 155, p.7, 2003
v3 20120616
인용 양식
Maximilian Kuhnert (2024). Enhanced Computation of Polylogarithm aka de Jonquieres function (https://www.mathworks.com/matlabcentral/fileexchange/37229-enhanced-computation-of-polylogarithm-aka-de-jonquieres-function), MATLAB Central File Exchange. 검색됨 .
MATLAB 릴리스 호환 정보
플랫폼 호환성
Windows macOS Linux카테고리
태그
도움
줌: wme7/Polylog
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!버전 | 게시됨 | 릴리스 정보 | |
---|---|---|---|
1.0.0.0 |