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 ℂ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3, author = {Piotr Liczberski and Victor V. Starkov}, title = {On locally biholomorphic mappings from multi-connected onto simply connected domains}, journal = {Annales Polonici Mathematici}, volume = {85}, year = {2005}, pages = {135-143}, zbl = {1087.30017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3} }
Piotr Liczberski; Victor V. Starkov. On locally biholomorphic mappings from multi-connected onto simply connected domains. Annales Polonici Mathematici, Tome 85 (2005) pp. 135-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-3/