Fully starlike and fully convex harmonic mappings of order α

DOI10.4064/ap108-1-7zbMath1278.30018arXiv1207.3946OpenAlexW2963101937MaRDI QIDQ4905255

Sumit Nagpal, Vravi Ravichandran

Publication date: 15 February 2013

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3946

zbMATH Keywords

harmonic mappingsfully convex functionsfully starlike functions

Mathematics Subject Classification ID

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

Related Items (18)

Construction and determination of univalent biharmonic mappings ⋮ New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality ⋮ Harmonic mappings with hereditary starlikeness ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ On a subclass of harmonic close-to-convex mappings ⋮ Radius constants for functions with the prescribed coefficient bounds ⋮ On directional convexity of harmonic mappings in the plane ⋮ On certain harmonic mappings with some fixed coefficients ⋮ Geometric properties and sections for certain subclasses of harmonic mappings ⋮ Harmonic hereditary convexity ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ ON SOME SUBCLASSES OF HARMONIC MAPPINGS ⋮ SHARP HEREDITARY CONVEX RADIUS OF CONVEX HARMONIC MAPPINGS UNDER AN INTEGRAL OPERATOR ⋮ Convolution properties of the harmonic Koebe function and its connection with 2-starlike mappings ⋮ Univalence and convexity in one direction of the convolution of harmonic mappings ⋮ Radius of convexity for analytic part of sense-preserving harmonic mappings ⋮ RADII OF HARMONIC MAPPINGS IN THE PLANE

This page was built for publication: Fully starlike and fully convex harmonic mappings of order α