lrtfm/Mittag-Leffler-Function

Version 1.0.0.0 (7.17 KB) by xyz
Numerical Computation of Mittag-Leffler Function
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Updated 13 Sep 2017
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MITTAG_LEFFLER Generalized Mittag-Leffler function.
E = mittag_leffler(alpha, beta, z) evaluates the Mittag-Leffler function for each element of z with parameters alpha and beta, where alpha, beta are real scalars and alpha > 0.

E = mittag_leffler(alpha, beta, z, rho) evaluates the Mittag-Leffler function with accuracy rho. Other parameters are same as before. The default value of rho is 10^(-12).

The Generalized Mittag-Leffler function is defined as E_{alpha, beta}(z) = sum k from 0 to inf of Z^k/gamma(alpha*k + beta)

Reference:
(1) Rudolf Gorenflo, Yuri Luchko, and Joulia Loutchko Computation of the Mittag-Leffler function and its derivatives. Fractional Calculus & Applied Analysis. 2002, 5(4):12-15.
(2) MLF (alpha,beta,Z,P) written by Igor Podlubny, Martin Kacenak.

Cite As

xyz (2025). lrtfm/Mittag-Leffler-Function (https://github.com/lrtfm/Mittag-Leffler-Function), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2016b
Compatible with any release
Platform Compatibility
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Acknowledgements

Inspired by: Mittag-Leffler function

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1.0.0.0

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