On the linear combinations of harmonic univalent mappings

DOI10.1016/j.jmaa.2012.09.011zbMath1272.30032OpenAlexW1970732467MaRDI QIDQ1941101

Zhi-Hong Liu, Zhi Gang Wang, Ying-Chun Li

Publication date: 11 March 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.011

zbMATH Keywords

linear combinationharmonic univalent mappingsshear construction

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (23)

Linear combinations of a class of harmonic univalent mappings ⋮ On harmonic \(K\)-quasiconformal mappings associated with asymmetric vertical strips ⋮ On the Linear Combinations of Slanted Half-Plane Harmonic Mappings ⋮ Directional Convexity of Combinations of Harmonic Half-Plane and Strip Mappings ⋮ On convolution and convex combination of harmonic mappings ⋮ Linear combination of convolution of harmonic univalent functions ⋮ ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Some Properties of Log-Harmonic Functions Product ⋮ On the product of planar harmonic mappings ⋮ On directional convexity of harmonic mappings in the plane ⋮ Harmonic mappings with analytic part convex in one direction ⋮ Unnamed Item ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ Linear combinations of univalent mappings with complex coefficients ⋮ On convex combinations of harmonic mappings ⋮ Convolution and convex combination of harmonic mappings ⋮ Convolutions of planar harmonic strip mappings ⋮ Some coefficient estimates on real kernel 𝛼-harmonic mappings ⋮ Linear combinations of univalent harmonic mappings convex in the direction of the imaginary axis

This page was built for publication: On the linear combinations of harmonic univalent mappings