Convolution of two harmonic mappings in the right-half plane

DOI10.2298/FIL2004315WzbMath1499.30195OpenAlexW3119526900MaRDI QIDQ5864820

Dongdong Wu, Xingdi Chen

Publication date: 10 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2004315w

zbMATH Keywords

convolutionharmonic mappingconvex mappingSchur-Cohn's algorithmCohn's rule

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)

Cites Work

• Maximal Blaschke products
• Quotient algebras of Toeplitz-composition \(C^\ast\)-algebras for finite Blaschke products
• Uniform approximation by indestructible Blaschke products
• On Blaschke products with finite Dirichlet-type integral
• Convolutions of slanted half-plane harmonic mappings
• Solution to an open problem on convolutions of harmonic mappings
• Convolutions of harmonic convex mappings
• Convolutions of planar harmonic convex mappings
• A NOTE ON CONVEXITY OF CONVOLUTIONS OF HARMONIC MAPPINGS
• Harmonic univalent functions
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Convolution properties of some harmonic mappings in the right half-plane
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