An extension of Schwick's theorem for normal families
Volume 115 / 2015
Annales Polonici Mathematici 115 (2015), 23-31
MSC: Primary 32A19, 32H30; Secondary 30D45, 32H02.
DOI: 10.4064/ap115-1-2
Abstract
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.
