Geodesic
On Some Typological Properties of the Class of Normalized and Starlike Maps of the Unit Polydisk in C^n
Acta Universitatis Lodziensis. Folia Mathematica, Tome 03 (1989).

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In this paper we consider univalent holomorphic maps of the unit polydisk P^n into C^n. We find a necessary and sufficient condition for this function to be starlike. Further, we show that the class of normalized and starlike maps of the unit polydisk P^n into C^n is compact and connected. 
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     author = {Poreda, Tadeusz},
     title = {On {Some} {Typological} {Properties} of the {Class} of {Normalized} and {Starlike} {Maps} of the {Unit} {Polydisk} in {C^n}},
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Poreda, Tadeusz. On Some Typological Properties of the Class of Normalized and Starlike Maps of the Unit Polydisk in C^n. Acta Universitatis Lodziensis. Folia Mathematica, Tome 03 (1989). http://geodesic.mathdoc.fr/item/AULFM_1989_03_a4/