Jing Zheng-xiong
Abstract
Let n≥2,k≥0 be two positive integers,and k+n≠2.Let F be a family of functions meromorphic in a domain DC.Let a be a finite non-zero value in C and b be a positive number,all of whose zeros are of multiplicity at least +1.If each function f∈F satisfies |f(z)|≥b whenever(fn(z))(k)=a,then F is normal in D.
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Let n≥2,k≥0 be two positive integers,and k+n≠2.Let F be a family of functions meromorphic in a domain DC.Let a be a finite non-zero value in C and b be a positive number,all of whose zeros are of multiplicity at least +1.If each function f∈F satisfies |f(z)|≥b whenever(fn(z))(k)=a,then F is normal in D.
Key concepts: Meromorphic function, Multiplicity (mathematics), Normality, Mathematics, Normal family, Zero (linguistics), Function (biology), Combinatorics