Geodesic
On the radius of starlikeness for harmonic mappings
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 16-24 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we obtain the criterion of starlikeness of the image of the disk with center at the origin and radius $r\in(0,1)$ under univalent harmonic mapping by a function, which maps the unit disk onto a convex domain. This criterion is analogous to the criterion of image convexity, and it is expressed in terms of starlikeness in one direction. As a corollary we obtain new estimate for the radius of starlikeness of the class of univalent harmonic mappings which map the unit disk onto a convex domain. 
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     title = {On the radius of starlikeness for harmonic mappings},
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A. O. Bagapsh. On the radius of starlikeness for harmonic mappings. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 16-24. http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a1/

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