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) no. 3, pp. 353-360
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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_3_a10,
author = {I. N. Peresyolkova},
title = {A remark to the paper of {A.} {A.~Gol'dberg} {{\textquotedblleft}An} estimate of modulus of logarithmic derivative of {Mittag{\textendash}Leffler} function and its applications{\textquotedblright}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {353--360},
year = {1999},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a10/}
}
TY - JOUR AU - I. N. Peresyolkova TI - A remark to the paper of A. A. Gol'dberg “An estimate of modulus of logarithmic derivative of Mittag–Leffler function and its applications” JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 1999 SP - 353 EP - 360 VL - 6 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a10/ LA - ru ID - JMAG_1999_6_3_a10 ER -
%0 Journal Article %A I. N. Peresyolkova %T A remark to the paper of A. A. Gol'dberg “An estimate of modulus of logarithmic derivative of Mittag–Leffler function and its applications” %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 1999 %P 353-360 %V 6 %N 3 %U http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a10/ %G ru %F JMAG_1999_6_3_a10
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) no. 3, pp. 353-360. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a10/