THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS  被引量:2

THE NORMAL FAMILITY OF MERMORPHIC FUNCTIONS

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作  者:韩明华 顾永兴 

机构地区:[1]Department of Education,Kaili University [2]College of Mathematics and Physics,Chongqing University

出  处:《Acta Mathematica Scientia》2008年第4期759-762,共4页数学物理学报(B辑英文版)

基  金:NNSF of China(10271122)

摘  要:Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈ F, the zeros of f-c are of multiplicity ≥ k + 1, and -↑Ef(k)(a) belong to -↑Ef (a), -↑Ef(k)(b)belong to -↑Ef (b), then F is normal in D.Let F be a family of mermorphic functions in a domain D, and let a, b, c be complex numbers, a ≠ b. If for each f ∈ F, the zeros of f-c are of multiplicity ≥ k + 1, and -↑Ef(k)(a) belong to -↑Ef (a), -↑Ef(k)(b)belong to -↑Ef (b), then F is normal in D.

关 键 词:Mermorphic functions normal family shared values 

分 类 号:O174.52[理学—数学]

 

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