Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings

DOI10.2298/FIL1707843LzbMath1488.30162OpenAlexW2344889268MaRDI QIDQ5157353

Yue Ping Jiang, Yong Sun, Zhi-Hong Liu

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1707843l

zbMATH Keywords

convex in the horizontal directionharmonic convolutionsharmonic half-plane mappingsharmonic vertical strip 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)

Related Items (8)

Directional convexity of normalized harmonic convex mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ A proof of a conjecture on the convolution of harmonic mappings and some related problems ⋮ On directional convexity of harmonic mappings in the plane ⋮ Convolutions of harmonic mappings convex in the horizontal direction ⋮ Directional convexity of convolutions of harmonic functions ⋮ Some new harmonic mappings convex in one direction and their convolution ⋮ Some coefficient estimates on real kernel 𝛼-harmonic mappings

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