Geodesic
An extension of Schwick's theorem for normal families
Yasheng Ye1 ; Xuecheng Pang2 ; Liu Yang2
1 Department of Mathematics University of Shanghai for Science and Technology Shanghai, 200093, P.R. China
2 Department of Mathematics East China Normal University Shanghai, 200062, P.R. China
Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 23-31.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap115-1-2
Keywords: paper definition derivative meromorphic functions extended holomorphic maps plane domain complex projective space study normality criteria families holomorphic maps results obtained generalize improve schwicks theorem normal families

Yasheng Ye 1 ; Xuecheng Pang 2 ; Liu Yang 2

1 Department of Mathematics University of Shanghai for Science and Technology Shanghai, 200093, P.R. China
2 Department of Mathematics East China Normal University Shanghai, 200062, P.R. China 
@article{10_4064_ap115_1_2,
     author = {Yasheng Ye and Xuecheng Pang and Liu Yang},
     title = {An extension of {Schwick's} theorem for normal families},
     journal = {Annales Polonici Mathematici},
     pages = {23--31},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {2015},
     doi = {10.4064/ap115-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-2/}
}
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
SP  - 23
EP  - 31
VL  - 115
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-2/
DO  - 10.4064/ap115-1-2
LA  - en
ID  - 10_4064_ap115_1_2
ER  - 
%0 Journal Article
%A Yasheng Ye
%A Xuecheng Pang
%A Liu Yang
%T An extension of Schwick's theorem for normal families
%J Annales Polonici Mathematici
%D 2015
%P 23-31
%V 115
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-2/
%R 10.4064/ap115-1-2
%G en
%F 10_4064_ap115_1_2
Yasheng Ye; Xuecheng Pang; Liu Yang. An extension of Schwick's theorem for normal families. Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 23-31. doi : 10.4064/ap115-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-2/

Cité par Sources :