Absolutely convex, uniformly starlike and uniformly convex harmonic mappings

DOI10.1080/17476933.2016.1182518zbMath1360.31002arXiv1605.02171OpenAlexW2363088460MaRDI QIDQ5739380

Anbareeswaran Sairam Kaliraj, Victor V. Starkov, Saminathan Ponnusamy

Publication date: 15 July 2016

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

Full work available at URL: https://arxiv.org/abs/1605.02171

zbMATH Keywords

harmonic functionscoefficient boundsfully convex functions

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 (1)

Close-to-convexity of a class of harmonic mappings defined by a third-orderdifferential inequality

Cites Work

• On uniformly starlike functions
• Curvature properties of planar harmonic mappings
• Sufficiency for Gaussian hypergeometric functions to be uniformly convex
• Regularity theorems for harmonic functions
• Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
• Constants for Planar Harmonic Mappings
• Duality for hadamard products applied to certain integral transforms
• Harmonic univalent functions

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