Matematičeskie zametki, Tome 19 (1976) no. 4, pp. 525-530
Citer cet article
A. A. Gol'dberg; V. A. Grinshtein. The logarithmic derivative of a meromorphic function. Matematičeskie zametki, Tome 19 (1976) no. 4, pp. 525-530. http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a4/
@article{MZM_1976_19_4_a4,
author = {A. A. Gol'dberg and V. A. Grinshtein},
title = {The logarithmic derivative of a~meromorphic function},
journal = {Matemati\v{c}eskie zametki},
pages = {525--530},
year = {1976},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a4/}
}
TY - JOUR
AU - A. A. Gol'dberg
AU - V. A. Grinshtein
TI - The logarithmic derivative of a meromorphic function
JO - Matematičeskie zametki
PY - 1976
SP - 525
EP - 530
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a4/
LA - ru
ID - MZM_1976_19_4_a4
ER -
%0 Journal Article
%A A. A. Gol'dberg
%A V. A. Grinshtein
%T The logarithmic derivative of a meromorphic function
%J Matematičeskie zametki
%D 1976
%P 525-530
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a4/
%G ru
%F MZM_1976_19_4_a4
A well-known lemma on the logarithmic derivative for a function $f(z)$, $f(0)=1$ ($0), meromorphic in $\{|z| is proved in the following form: $$ m\Bigl(r,\frac{f'}f\Bigr)<ln+\Bigl\{\frac{T(\rho,f)}r\frac\rho{\rho-r}\Bigr\}+5,\!8501. $$ This estimate is more exact than the one previously obtained by Kolokol'nikov and is, in a certain sense, unimprovable.
