Generalized Mittag-Leffler function

Version 1.0.0.0 (889 Bytes) by YangQuan Chen

Computes generalized Mittag-Leffler function

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Updated 28 Jul 2008

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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)

Cite As

YangQuan Chen (2026). Generalized Mittag-Leffler function (https://nl.mathworks.com/matlabcentral/fileexchange/20849-generalized-mittag-leffler-function), MATLAB Central File Exchange. Retrieved January 9, 2026.

MATLAB Release Compatibility

Created with R2007b

Compatible with any release

Platform Compatibility

Windows macOS Linux

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Acknowledgements

Inspired: Impulse response invariant discretization of fractional order low-pass filters, Generalized Generalized Mittag-Leffler function

gml_fun.m

Version	Published	Release Notes
1.0.0.0	28 Jul 2008	typo "Leffer" -> Leffler	Download