An extension of Schwick's theorem for normal families
Yasheng Ye ; Xuecheng Pang ; Liu Yang
Annales Polonici Mathematici, Tome 113 (2015), p. 23-31 / Harvested from The Polish Digital Mathematics Library
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In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:280274 
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Yasheng Ye; Xuecheng Pang; Liu Yang. An extension of Schwick's theorem for normal families. Annales Polonici Mathematici, Tome 113 (2015) pp. 23-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-2/