Geodesic
Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 152-165

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DOI

In this article, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form $F(z)=\bar {z}G(z)+H(z)$, where G and H are analytic in the unit disk with $G(0)=H(0)=0$ and $H'(0)=1$. In particular, two of them are sharp, while the other one either generalizes or improves the corresponding result of Abdulhadi and Hajj. As consequences, several new sharp versions of Landau-type theorems for certain subclasses of bounded biharmonic mappings are proved.
DOI : 10.4153/S0008439523000577
Mots-clés : Landau-type theorem, Bloch theorem, bi-analytic function, harmonic mapping, biharmonic mapping, univalent 
Liu, Ming-Sheng; Ponnusamy, Saminathan. Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 152-165. doi: 10.4153/S0008439523000577
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     title = {Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings},
     journal = {Canadian mathematical bulletin},
     pages = {152--165},
     year = {2024},
     volume = {67},
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     doi = {10.4153/S0008439523000577},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000577/}
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