Harmonic mappings convex in one or every direction

DOI10.1007/BF03321824zbMath1252.30010MaRDI QIDQ428956

Stacey Muir

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Hadamard productconvexharmonic mappingsconvex in one directiondirection convexity preservingorder of convexityorder of starlikeness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (9)

Directional convexity of normalized harmonic convex mappings ⋮ On construction and convolution properties of univalent harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ On directional convexity of harmonic mappings in the plane ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ Properties of harmonic functions defined by shear construction ⋮ Convolutions of harmonic mappings convex in one direction ⋮ Some new harmonic mappings convex in one direction and their convolution

Cites Work

• Weak subordination for convex univalent harmonic functions
• Harmonic functions starlike in the unit disk
• A continuous extension of the de la Vallée Poussin means
• On the preservation of direction-convexity and the Goodman-Saff conjecture
• Harmonic univalent functions
• Univalent Functions and Nonanalytic Curves
• Unnamed Item
• Unnamed Item

This page was built for publication: Harmonic mappings convex in one or every direction