Coefficient estimates and radii problems for certain classes of polyharmonic mappings

DOI10.1080/17476933.2014.936862zbMath1312.31003arXiv1309.7433OpenAlexW2062658082MaRDI QIDQ4982009

Jiaolong Chen, Antti H. Rasila, Xian Tao Wang

Publication date: 23 March 2015

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

Full work available at URL: https://arxiv.org/abs/1309.7433

zbMATH Keywords

convex functionsharmonic mappingsstarlike functionscoefficient estimatesFekete-Szegő problempolyharmonic mappings

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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (7)

The Bohr inequality for certain harmonic mappings ⋮ A note on polyharmonic mappings ⋮ On lengths, areas and Lipschitz continuity of polyharmonic mappings ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Some coefficient estimates on real kernel 𝛼-harmonic mappings

Cites Work

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• Explicit quasiconformal extensions for some classes of univalent functions
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• Landau's theorem for biharmonic mappings
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• Radius of convexity of partial sums of functions in the close-to-convex family
• The partial sums of multivalently starlike functions
• Injectivity and Starlikeness of Sections of a Class of Univalent Functions
• Landau's theorem for p-harmonic mappings in several variables
• Constants for Planar Harmonic Mappings
• Extension of Szegö’s Theorem on the Sections of Univalent Functions
• Eine Bemerkung Über Ungerade Schlichte Funktionen
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions
• On the theory of univalent functions

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