Harmonic close-to-convex functions and minimal surfaces

DOI10.1080/17476933.2013.800050zbMath1297.31003arXiv1209.0202OpenAlexW2007439757MaRDI QIDQ5419435

Anbareeswaran Sairam Kaliraj, Saminathan Ponnusamy, Antti H. Rasila

Publication date: 6 June 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0202

zbMATH Keywords

minimal surfacesclose-to-convex functionsunivalent harmonic functions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) 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) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items

Inequalities of harmonic univalent functions with connections of hypergeometric functions ⋮ Constants and characterization for certain classes of univalent harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Logarithmic coefficients for certain subclasses of close-to-convex functions ⋮ Univalent harmonic mappings and lift to the minimal surfaces

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Geometric properties of harmonic shears
• On harmonic close-to-convex functions
• On schlicht mappings to domains convex in one direction
• Convolutions of planar harmonic convex mappings
• Variability regions for certain families of harmonic univalent mappings
• Radius of close-to-convexity and fully starlikeness of harmonic mappings
• Analytic Functions Star-Like in One Direction
• On the non-vanishing of the Jacobian in certain one-to-one mappings