Landau-Type Theorems for Certain Bounded Biharmonic Mappings
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DOI: 10.1007/s00025-019-1095-7
Abstract: In this paper, we establish three sharp versions of the Landau-type theorems for bounded biharmonic mappings $$F(z)=|z|^2G(z)+H(z)$$, where G(z) and H(z) are harmonic in the unit disk U with $$G(0)=H(0)=0$$ and $$\lambda _{F}(0)=||F_z(0)|-|F_{{\overline{z}}}(0)||=1$$. Our results… read more here.
Keywords: landau type; certain bounded; biharmonic mappings; theorems certain ... See more keywords
Landau–Bloch type theorems for certain biharmonic mappings
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1701665
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… read more here.
Keywords: bloch type; biharmonic mappings; landau bloch; theorems certain ... See more keywords