Geodesic
A~rotation theorem in the class of bounded univalent functions
Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 633-640

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Let $S_M$, $M>1$, be the class of functions $f(z)$ which are regular and univalent in the disk $|z|1$ and satisfy the conditions $f(0)=0$, $f'(0)=1$, $|f(z)|$. In the present note we will obtain an exact estimate for the argument of the derivative of a function of the class $S_M$. 
@article{MZM_1975_18_5_a0,
     author = {V. V. Goryainov},
     title = {A~rotation theorem in the class of bounded univalent functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {633--640},
     publisher = {mathdoc},
     volume = {18},
     number = {5},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/}
}
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V. V. Goryainov. A~rotation theorem in the class of bounded univalent functions. Matematičeskie zametki, Tome 18 (1975) no. 5, pp. 633-640. http://geodesic.mathdoc.fr/item/MZM_1975_18_5_a0/