On the Radius of Starlikeness for Harmonic Mappings
Journal Article
·
· Journal of Mathematical Sciences
In this paper, we obtain a criterion of starlikeness for the image of the disk with center at the origin and radius r ∈ (0, 1) under a univalent harmonic mapping by a function that maps the unit disk onto a convex domain. This criterion is similar to the criterion of image convexity, and it is expressed in terms of starlikeness in one direction. As a corollary, we obtain a new estimate for the radius of starlikeness of the class of univalent harmonic mappings that take the unit disk onto a convex domain.
- OSTI ID:
- 22773773
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 234; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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