An extension of Schwick's theorem for normal families

Yasheng Ye, Xuecheng Pang, and Liu Yang. "An extension of Schwick's theorem for normal families." Annales Polonici Mathematici 115.1 (2015): 23-31. <http://eudml.org/doc/280274>.

@article{YashengYe2015,
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.},
author = {Yasheng Ye, Xuecheng Pang, Liu Yang},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic maps; projective space; derivative; normal family; Wronskian; Schwick's theorem},
language = {eng},
number = {1},
pages = {23-31},
title = {An extension of Schwick's theorem for normal families},
url = {http://eudml.org/doc/280274},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Yasheng Ye
AU - Xuecheng Pang
AU - Liu Yang
TI - An extension of Schwick's theorem for normal families
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 1
SP - 23
EP - 31
AB - 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.
LA - eng
KW - holomorphic maps; projective space; derivative; normal family; Wronskian; Schwick's theorem
UR - http://eudml.org/doc/280274
ER -