Coefficient estimates and the Fekete-Szeg\H o problem for certain classes of polyharmonic mappings

2013/09/28 by Jiaolong Chen, Chen, Jiaolong, Antti Rasila +3
Mathematics · #30C45 #30H30 #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory #Primary: 30H10 #Secondary: 30C20

paper · pdf · doi:10.48550/arxiv.1309.7433

openalex publication_date 2013/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give coefficient estimates for a class of close-to-convex harmonic mappings, and discuss the Fekete-Szegő problem of it. We also introduce two classes of polyharmonic mappings HS_p and HC_p, consider the starlikeness and convexity of them, and obtain coefficient estimates on them. Finally, we give a necessary condition for a mapping F to be in the class HC_p.

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