Geodesic
Условия звездообразности областей в $\mathbb{R}^{N}$
Problemy analiza, no. 18 (2011), pp. 70-82

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

For the domains with smooth boundary the criterion of starlikeness with respect to inner or boundary point has been proved. As a consequence we obtained all known conditions of starlikeness of biholomorphic mappings in the ball and polydisk and sufficient conditions of starlikeness of the domains with arbitrary boundary. 
@article{PA_2011_18_a4,
     author = {V. V. Starkov},
     title = {{\CYRU}{\cyrs}{\cyrl}{\cyro}{\cyrv}{\cyri}{\cyrya} {\cyrz}{\cyrv}{\cyre}{\cyrz}{\cyrd}{\cyro}{\cyro}{\cyrb}{\cyrr}{\cyra}{\cyrz}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyri} {\cyro}{\cyrb}{\cyrl}{\cyra}{\cyrs}{\cyrt}{\cyre}{\cyrishrt} {\cyrv} $\mathbb{R}^{N}$},
     journal = {Problemy analiza},
     pages = {70--82},
     publisher = {mathdoc},
     number = {18},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2011_18_a4/}
}
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V. V. Starkov. Условия звездообразности областей в $\mathbb{R}^{N}$. Problemy analiza, no. 18 (2011), pp. 70-82. http://geodesic.mathdoc.fr/item/PA_2011_18_a4/