Geodesic
On the real zeros of functions of Mittag-Leffler type
Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 592-599.

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In the present paper, we prove an assertion allowing us to extend results related to the presence or absence of real zeros of functions of Mittag-Leffler type $$ E_{1/\alpha}(z;\mu)=\sum_{k=0}^\infty\frac{z^k}{\Gamma(\alpha k+\mu)} $$ for certain values of $\alpha$ and $\mu$ to more extensive ranges of these parameters. We give a geometric description of the sets of pairs $(\alpha,\mu)$ for which the function $E_{1/\alpha}(z;\mu)$ has and does not have real zeros. 
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A. V. Pskhu. On the real zeros of functions of Mittag-Leffler type. Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 592-599. http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a11/

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