2008Journal of Southwest UniversityRequires access

On the Normality of Meromorphic Functions Related to Shared Values

Yan Li

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Abstract

Let F be a family of meromorphic functions in the area D,a,b,c,d,k and l be finite complex numbers,and c≠k,b≠d,b≠0,l≠0.If f∈F satisfies(1°) f=a whenever f′=b;(2°) f′=d whenever f=c;(3°) f′=l whenever f=k,then F is normal in D.

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Let F be a family of meromorphic functions in the area D,a,b,c,d,k and l be finite complex numbers,and c≠k,b≠d,b≠0,l≠0.If f∈F satisfies(1°) f=a whenever f′=b;(2°) f′=d whenever f=c;(3°) f′=l whenever f=k,then F is normal in D.

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Available abstract

Let F be a family of meromorphic functions in the area D,a,b,c,d,k and l be finite complex numbers,and c≠k,b≠d,b≠0,l≠0.If f∈F satisfies(1°) f=a whenever f′=b;(2°) f′=d whenever f=c;(3°) f′=l whenever f=k,then F is normal in D.

Key concepts: Meromorphic function, Normality, Mathematics, Combinatorics, Normal family, Pure mathematics, Discrete mathematics, Statistics

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