Convolutions of slanted half-plane harmonic mappings

DOI10.1524/anly.2013.1170zbMath1286.30011arXiv1206.4364OpenAlexW2964321713MaRDI QIDQ2841427

Liulan Li, Saminathan Ponnusamy

Publication date: 25 July 2013

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4364

zbMATH Keywords

convolutionconvex functionsharmonic mappingunivalenthalf-plane and slanted half-plane mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20)

Related Items (20)

Univalency of convolutions of univalent harmonic right half-plane mappings ⋮ Directional convexity of normalized harmonic convex mappings ⋮ An application of Cohn's rule to convolutions of univalent harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ Injectivity of sections of univalent harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ A convolution property of univalent harmonic right half-plane mappings ⋮ ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ Sections of stable harmonic convex functions ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ Characterization of univalent harmonic mappings with integer or half-integer coefficients ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ Univalent harmonic mappings convex in one direction ⋮ Convolutions of harmonic mappings convex in one direction ⋮ Convolution properties of some harmonic mappings in the right half-plane ⋮ The properties of a new subclass of harmonic univalent mappings ⋮ Harmonic Univalent Mappings and Minimal Graphs ⋮ Convolutions of planar harmonic strip mappings ⋮ Convolution of two harmonic mappings in the right-half plane

Uses Software

• Mathematica

Cites Work

• Hadamard products of schlicht functions and the Polya-Schoenberg conjecture
• Convolutions of harmonic convex mappings
• Convolutions of planar harmonic convex mappings
• Hadamard Products of Convex Harmonic Mappings
• Pólya-Schoenberg Conjecture for Carathéodory Functions
• The Argument Principle for Harmonic Functions

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