Geodesic
Numerical Results for the Generalized Mittag-Leffler Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 127-139.

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Results of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.
Keywords: Generalized Mittag-Leffler Functions, Special Functions of Mathematical Physics, Fractional Calculus, Numerical Algorithms, 33E12, 33FXX 
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     title = {Numerical {Results} for the {Generalized} {Mittag-Leffler} {Function}},
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Seybold, H. J.; Hilfer, R. Numerical Results for the Generalized Mittag-Leffler Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 2, pp. 127-139. http://geodesic.mathdoc.fr/item/FCAA_2005_8_2_a2/