Geodesic
A remark to the paper of A.\,A.~Gol'dberg ``An estimate of modulus of logarithmic derivative of Mittag--Leffler function and its applications''
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 353-360.

Voir la notice de l'article provenant de la source Math-Net.Ru

An upper estimate of modulus of logarithmic derivative of the function of Mittag–Leffler's type $E_{\rho}(z,\mu)$ is obtaind. Using this result we describe the set of pairs $(\rho,\mu)$ such that the function of Mittag–Leffler's type is a function of bounded index. 
@article{JMAG_1999_6_a10,
     author = {I. N. Peresyolkova},
     title = {A remark to the paper of {A.\,A.~Gol'dberg} {``An} estimate of modulus of logarithmic derivative of {Mittag--Leffler} function and its applications''},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {353--360},
     publisher = {mathdoc},
     volume = {6},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_a10/}
}
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I. N. Peresyolkova. A remark to the paper of A.\,A.~Gol'dberg ``An estimate of modulus of logarithmic derivative of Mittag--Leffler function and its applications''. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 353-360. http://geodesic.mathdoc.fr/item/JMAG_1999_6_a10/