Geodesic
The logarithmic derivative of a~meromorphic function
Matematičeskie zametki, Tome 19 (1976) no. 4, pp. 525-530

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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: $$ m\Bigl(r,\frac{f'}f\Bigr)+\Bigl\{\frac{T(\rho,f)}r\frac\rho{\rho-r}\Bigr\}+5,\!8501. $$ This estimate is more exact than the one previously obtained by Kolokol'nikov and is, in a certain sense, unimprovable. 
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     author = {A. A. Gol'dberg and V. A. Grinshtein},
     title = {The logarithmic derivative of a~meromorphic function},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {4},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a4/}
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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/