Univalency of convolutions of univalent harmonic right half-plane mappings

2016/09/17 by Zhihong Liu, Liu, Zhihong, Saminathan Ponnusamy +1 · 1 citation
Mathematics · #30C45 #31A05 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1609.05282

openalex publication_date 2016/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the convolution of half-plane harmonic mappings with respective dilatations (z+a)/(1+az) and e^iθzⁿ, where -1

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• Always-convex harmonic shears

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