Geodesic
Two sufficient conditions for the univalence of analytic functions
Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 331-346 
V. P. Mikka. Two sufficient conditions for the univalence of analytic functions. Matematičeskie zametki, Tome 19 (1976) no. 3, pp. 331-346. http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a2/
@article{MZM_1976_19_3_a2,
     author = {V. P. Mikka},
     title = {Two sufficient conditions for the univalence of analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {331--346},
     year = {1976},
     volume = {19},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_3_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we obtain sufficient conditions for the univalence of $n$-symmetric analytic functions in the region $|\zeta|>-1$ and in the disk $|\zeta|<-1$. We examine the question of univalent variation of functions analytic in $|\zeta|<-1$ and mapping $|\zeta|=1$ onto a contour with two zero angles. We give an application of these results to the fundamental converse boundary-value problems.