Geodesic
Normal Functions and Normal Families
Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper, we prove the following theorem: Let F be a family of holomorphic functions in the unit disc D and let a be a nonzero complex number. If, for any f Î F , f ( z )= a Þ f '( z )= a , f '( z )= a Þ f ''( z )= a , then F is uniformly normal in D , that is, there exists a positive constant M such that (1-| z | 2 ) f # ( z ) £ M for each f Î F and z Î D where M is independently of M . This result improves related results due to [2], [8], and [3].
Classification : 30D45 
@article{BMMS_2004_27_2_a4,
     author = {Yan Xu},
     title = {Normal {Functions} and {Normal} {Families}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2004},
     volume = {27},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a4/}
}
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AU  - Yan Xu
TI  - Normal Functions and Normal Families
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a4/
ID  - BMMS_2004_27_2_a4
ER  - 
%0 Journal Article
%A Yan Xu
%T Normal Functions and Normal Families
%J Bulletin of the Malaysian Mathematical Society
%D 2004
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a4/
%F BMMS_2004_27_2_a4
Yan Xu. Normal Functions and Normal Families. Bulletin of the Malaysian Mathematical Society, Tome 27 (2004) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2004_27_2_a4/