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On the univalence of certain integral for harmonic mappings

Article ID Journal Published Year Pages File Type
5774490 Journal of Mathematical Analysis and Applications 2017 14 Pages PDF
Abstract
We generalize the problem of univalence of the integral of f′(z)α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.
Keywords
Integral transformUnivalent functionsHarmonic mapping
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On the univalence of certain integral for harmonic mappings
Authors
Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas,
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Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
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Harmonic mapping
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