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Landau–Bloch type theorems for certain biharmonic mappings

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In this paper, two versions of Landau–Bloch type theorems for biharmonic mappings are provided by applying the geometric method and establishing better coefficient estimates for bounded and normalized planar harmonic… Click to show full abstract

In this paper, two versions of Landau–Bloch type theorems for biharmonic mappings are provided by applying the geometric method and establishing better coefficient estimates for bounded and normalized planar harmonic mappings. In particular, we pose a conjecture for the sharp version of Landau–Bloch type theorem for certain bounded harmonic mappings. The results in the presented paper improve a related result of the earlier author.

Keywords: bloch type; biharmonic mappings; landau bloch; theorems certain; type theorems

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019

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