Geodesic
The Schwarzian derivatives of harmonic functions and univalence conditions
Problemy analiza, Tome 6 (2017) no. 2, pp. 42-56

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper we obtain some analogues of Nehari's univalence conditions for sense-preserving functions that are harmonic in the unit disc $\Bbb D=\{z\in\Bbb C:\,|z|1\}$.
Keywords: harmonic mappings, univalence criteria, Schwarzian derivative. 
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     author = {S. Yu. Graf},
     title = {The {Schwarzian} derivatives of harmonic functions and univalence conditions},
     journal = {Problemy analiza},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2017_6_2_a2/}
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S. Yu. Graf. The Schwarzian derivatives of harmonic functions and univalence conditions. Problemy analiza, Tome 6 (2017) no. 2, pp. 42-56. http://geodesic.mathdoc.fr/item/PA_2017_6_2_a2/