Mittag-Leffler function
This is a MATLAB routine for evaluating the Mittag-Leffler function with two parameters (sometimes also called generalized exponential function).
The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives).
USAGE:
MLF(alpha,beta,Z,P) is the Mittag-Leffler function E_{alpha,beta}(Z) evaluated with accuracy 10^(-P) for each element of Z.
Update 2009-03-25:
(1) Now Z can also be a two-dimensional array.
(2) Addressed the issue reported by Li Jackie. It was caused by rounding errors during computations.
Update 2012-09-07:
(1) Addressed the potential issue reported by Brian Bigler.
(2) Code clean up.
Zitieren als
Igor Podlubny (2024). Mittag-Leffler function (https://www.mathworks.com/matlabcentral/fileexchange/8738-mittag-leffler-function), MATLAB Central File Exchange. Abgerufen .
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Inspiriert: Mittag-Leffler filter, Global Pade Approximation of the Mittag-Leffler function, MCFD Toolbox, lrtfm/Mittag-Leffler-Function, Mittag-Leffler 2D filter for image processing
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Version | Veröffentlicht | Versionshinweise | |
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1.2.0.0 | Addressed the potential issue reported by Brian Bigler. Code clean up. |
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1.1.0.0 |
(1) Now Z can also be a two-dimensional array.
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1.0.0.0 | minor update (thanks to Dominik Sierociuk for his feedback) |