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Generalized Mittag-Leffler function

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Generalized Mittag-Leffler function

by YangQuan Chen

 

25 Jul 2008 (Updated 28 Jul 2008)

Computes generalized Mittag-Leffler function

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Description

Mittag-Leffler function generalizes the exponential function. It plays an important role in fractional order dynamic systems.

Key reference:
A. A. KILBAS, M. SAIGOb, and R. K. SAXENA, “Generalized Mittag-Leffler function and generalized fractional calculus operators,” Integral Transforms and Special Functions, vol. 15, No. 1, 2004, pp. 31–49.

Based on the ml_fun.m code in Dingyu Xue, YangQuan Chen* and Derek Atherton. “Linear Feedback Control – Analysis and Design with Matlab”. SIAM Press, 2007, ISBN: 978-0-898716-38-2. (348 pages)

Acknowledgements
This submission has inspired the following:
Generalized Generalized Mittag-Leffler function, Impulse response invariant discretization of fractional order low-pass filters
MATLAB release MATLAB 7.5 (R2007b)
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06 Aug 2008 Yan Li  
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Updates
28 Jul 2008

typo "Leffer" -> Leffler

Tag Activity for this File
Tag Applied By Date/Time
fractional calculus YangQuan Chen 22 Oct 2008 10:11:45
special function YangQuan Chen 22 Oct 2008 10:11:45
mittagleffer function YangQuan Chen 22 Oct 2008 10:11:45
general YangQuan Chen 22 Oct 2008 10:11:45

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