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In this paper, we establish three new versions of Landau-type theorems forbounded bi-analytic functions of the form $F(z)=\bar{z}G(z)+H(z)$, where $G$and $H$ are analytic in the unit disk $|z|<1$ with $G(0)=H(0)=0$ and $H'(0)=1$.In particular, two of them are sharp while the other one either generalizes orimproves the corresponding result of Abdulhadi and Hajj. As consequences,several new sharp versions of Landau-type theorems for certain subclasses ofbounded biharmonic mappings are proved.

Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings