2024/04/11 by Mingsheng Liu, Hao Xu, Liu, Ming-Sheng +1
Mathematics · #30C62 #31A05 #33E05 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations #Primary 30C50 #Secondary 32A18
paper · pdf · doi:10.48550/arxiv.2404.07666
openalex publication_date 2024/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we first establish two versions of Landau-Bloch type theorem for (K,K')-elliptic harmonic mappings with a bounded minimum distortion. Next, we provide several coefficient estimates and a conjecture for (K,K')-elliptic harmonic mappings. Then, we establish three new versions of Landau-Bloch type theorem for sense-preserving harmonic mappings. Finally, we establish two sharp versions of Landau-Bloch type theorem for certain harmonic mappings. These results are sharp in some given cases and improve the related results of different authors.