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Generalized Mittag-Leffler function

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Generalized Mittag-Leffler function


YangQuan Chen (view profile)


25 Jul 2008 (Updated )

Computes generalized Mittag-Leffler function

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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)


This file inspired Impulse Response Invariant Discretization Of Fractional Order Low Pass Filters and Generalized Generalized Mittag Leffler Function.

MATLAB release MATLAB 7.5 (R2007b)
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06 Aug 2008 Yan Li  

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