Geodesic
Fatou's example
Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 437-441

Voir la notice de l'article provenant de la source Math-Net.Ru

Examples due to P. Fatou and L. Biberbach show that Picard's little theorem cannot be extended to apply to holomorphic mappings of the complex space $C^n$, $n>1$. These examples are used to construct a pair of functionally independent entire functions of two complex variables such that the image of $C^2$ by the mapping realized by this pair does not contain any sphere. Here we give an example of the same type which implies a stronger assertion concerning the set of values not taken. 
@article{MZM_1969_6_4_a8,
     author = {A. Sadullaev},
     title = {Fatou's example},
     journal = {Matemati\v{c}eskie zametki},
     pages = {437--441},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a8/}
}
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A. Sadullaev. Fatou's example. Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 437-441. http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a8/