Mittag-Leffler function

Calculates the Mittag-Leffler function with desired accuracy.
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Aktualisiert 7. Sep 2012

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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 .

Kompatibilität der MATLAB-Version
Erstellt mit R12
Kompatibel mit allen Versionen
Plattform-Kompatibilität
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Version Veröffentlicht Versionshinweise
1.2.0.0

Addressed the potential issue reported by Brian Bigler. Code clean up.

1.1.0.0

(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.

1.0.0.0

minor update (thanks to Dominik Sierociuk for his feedback)