Geodesic
Radius of univalence of holomorphic functions
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 295-298.

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Several simple observations are made regarding the radius of univalence of functions holomorphic in the disk $|z|1$ and also regarding the radius of holomorphicity of the inverse functions. 
@article{MZM_1970_7_3_a4,
     author = {V. I. Gavrilov},
     title = {Radius of univalence of holomorphic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {295--298},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a4/}
}
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V. I. Gavrilov. Radius of univalence of holomorphic functions. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 295-298. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a4/