Geodesic
Use of Theory of Conformal Mappings in Harmonic Univalent Mappings with Directional Convexity
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3

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In this paper we use shear construction to generate certain subclasses of harmonic univalent mappings with directional convexity because it allows us to study such functions by examining their related conformal univalent mappings. In this setting we find growth, distortion, and coefficient bounds for harmonic univalent mappings that are convex in both the directions of real axis and imaginary axis.
Classification : Primary: 31A05; Secondary: 30C45, 30C55. 
Om P. Ahuja. Use of Theory of Conformal Mappings in Harmonic Univalent Mappings with Directional Convexity. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a15/
@article{BMMS_2012_35_3_a15,
     author = {Om P. Ahuja},
     title = {Use of {Theory} of {Conformal} {Mappings} in {Harmonic} {Univalent} {Mappings} with {Directional} {Convexity}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_3_a15/}
}
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