GU Yong-xing
Abstract
Let F be a family of meromorphic functions defined in a domain D,let a,b be two nonzero finite values,k≥3 be a positive integer,A be a positive value.If,for every function f∈F,all of whose zeros have multiplicity at least k,f(z)=0f(k)(z)≤A,f(z)=af(k)(z)=b;then F is normal in D.
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Let F be a family of meromorphic functions defined in a domain D,let a,b be two nonzero finite values,k≥3 be a positive integer,A be a positive value.If,for every function f∈F,all of whose zeros have multiplicity at least k,f(z)=0f(k)(z)≤A,f(z)=af(k)(z)=b;then F is normal in D.
Key concepts: Meromorphic function, Multiplicity (mathematics), Normality, Normal family, Mathematics, Integer (computer science), Domain (mathematical analysis), Combinatorics