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