The radii of fully starlikeness and fully convexity of a harmonic operator

DOI10.1007/s00605-018-1163-1zbMath1416.31002OpenAlexW2791734294MaRDI QIDQ1736097

Nirupam Ghosh, Allu Vasudevarao

Publication date: 29 March 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-018-1163-1

zbMATH Keywords

convex functionsstar-like functionsharmonic mappings in the disk

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) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (3)

New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings

Cites Work

• Uniformly starlike and uniformly convex harmonic mappings
• Close-to-convexity criteria for planar harmonic mappings
• Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings
• Harmonic functions starlike in the unit disk
• Curvature properties of planar harmonic mappings
• Harmonic maps and ideal fluid flows
• A harmonic maps approach to fluid flows
• On close-to-convex harmonic mappings
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• Convex and Starlike Univalent Functions
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Precise coefficient estimates for close-to-convex harmonic univalent mappings
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