Geodesic
On locally biholomorphic mappings from multi-connected onto simply connected domains
Piotr Liczberski1 ; Victor V. Starkov2
1Institute of Mathematics Technical University of /L/od/x /Zwirki 36 90-924 /L/od/x, Poland
2Institute of Mathematics Technical University of /L/od/x /Zwirki 36 90-924 /L/od/x, Poland and Faculty of Mathematics Petrozavodsk State University Pr. Lenina 33 185910 Petrozavodsk, Russia
Annales Polonici Mathematici, Tome 85 (2005) no. 2, pp. 135-143
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We continue E. Ligocka's investigations concerning the existence of $m$-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant $m$, and also give the minimum of $m$ in the case of mappings from a wide class of domains onto the complex plane $\mathbb{C}$.
DOI : 10.4064/ap85-2-3
Keywords: continue ligockas investigations concerning existence m valent locally biholomorphic mappings multi connected simply connected domains decrease constant minimum mappings wide class domains complex plane mathbb

Piotr Liczberski  1   ; Victor V. Starkov  2

1 Institute of Mathematics Technical University of /L/od/x /Zwirki 36 90-924 /L/od/x, Poland
2 Institute of Mathematics Technical University of /L/od/x /Zwirki 36 90-924 /L/od/x, Poland and Faculty of Mathematics Petrozavodsk State University Pr. Lenina 33 185910 Petrozavodsk, Russia 
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Piotr Liczberski; Victor V. Starkov. On locally biholomorphic mappings from 
multi-connected onto simply connected domains. Annales Polonici Mathematici, Tome 85 (2005) no. 2, pp. 135-143. doi: 10.4064/ap85-2-3

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