Coefficient estimates and Bloch's constant in some classes of harmonic mappings

DOI10.1007/S40840-015-0138-9zbMath1336.31005OpenAlexW1253108047WikidataQ59472642 ScholiaQ59472642MaRDI QIDQ263009

D. Klimek-Smȩt, Stanislawa Kanas

Publication date: 4 April 2016

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0138-9

zbMATH Keywords

convex functionsunivalent harmonic 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)

Related Items (5)

Norm of the pre-Schwarzian derivative, Bloch's constant and coefficient bounds in some classes of harmonic mappings ⋮ A subclass of harmonic univalent mappings with a restricted analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ Some classes of harmonic mappings with analytic part defined by subordination ⋮ Convolution properties of some harmonic mappings in the right half-plane

Cites Work

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• Some properties of planar \(p\)-harmonic and log-\(p\)-harmonic mappings
• Multivalent harmonic functions defined by Dziok-Srivastava operator
• Subclasses of multivalent harmonic mappings defined by convolution
• Coefficient estimates and Landau-Bloch's constant for planar harmonic mappings
• Bloch constant and Landau's theorem for planar \(p\)-harmonic mappings
• Bloch and normal functions and their relation
• Remarks on the Bohr phenomenon
• LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS
• LANDAU’S THEOREM AND MARDEN CONSTANT FOR HARMONIC ν-BLOCH MAPPINGS
• On Generalized Schwarz‐Pick Estimates
• Bloch constants for planar harmonic mappings
• Harmonic univalent functions
• Estimates on Bloch constants for planar harmonic mappings

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