A subclass of close-to-convex harmonic mappings

DOI10.1080/17476933.2012.727409zbMath1291.30091arXiv1207.3403OpenAlexW1992314090MaRDI QIDQ5404705

Sumit Nagpal, Vravi Ravichandran

Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3403

zbMATH Keywords

convolutionconvex combinationconvexgrowth estimatestarlikecoefficient estimatesunivalent harmonic mappingsarea theoremclose-to-convex

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (9)

Close-to-convexity of a class of harmonic mappings defined by a third-orderdifferential inequality ⋮ Unnamed Item ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ Radius constants for functions with the prescribed coefficient bounds ⋮ On certain subclass of harmonic starlike functions ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ 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

Cites Work

• Unnamed Item
• Harmonic functions starlike in the unit disk
• Stable geometric properties of analytic and harmonic functions
• Convolutions of harmonic convex mappings
• Convolutions of planar harmonic convex mappings
• Hadamard Products of Convex Harmonic Mappings
• Constants for Planar Harmonic Mappings
• On integrals of bounded analytic functions in the closed unit disc
• Precise coefficient estimates for close-to-convex harmonic univalent mappings

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