Geodesic
Harmonic mappings and finite valency of analytic functions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 160 (2018) no. 4, pp. 771-777 Cet article a éte moissonné depuis la source Math-Net.Ru

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The harmonic mappings of a circle into domains that can be cut into a finite number of convex subdomains has been studied. An estimate of the valency of holomorphic mappings of a circle composed of analytical components of the harmonic function has been obtained. In addition, the Keobe harmonic univalent function has been considered to illustrate the results of the research.
Keywords: harmonic function, univalent function, $n$-valent function, convex function, shear construction. 
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L. A. Xuan. Harmonic mappings and finite valency of analytic functions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 160 (2018) no. 4, pp. 771-777. http://geodesic.mathdoc.fr/item/UZKU_2018_160_4_a14/

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