NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS

DOI10.1017/S0004972719000029zbMath1419.31001arXiv1804.10046MaRDI QIDQ5380454

Liulan Li, Saminathan Ponnusamy

Publication date: 4 June 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10046

zbMATH Keywords

convolutionharmonic mappingsconvex 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)

Directional convexity of normalized harmonic convex mappings ⋮ On the product of planar harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Directional convexity of convolutions of harmonic functions ⋮ Convolutions of planar harmonic strip mappings

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• ON HARMONIC CONVOLUTIONS INVOLVING A VERTICAL STRIP MAPPING
• Convolution properties of some harmonic mappings in the right half-plane

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