Use of Theory of Conformal Mappings in Harmonic Univalent Mappings with Directional Convexity
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 3
Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website
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.
@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/}
}
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/