Hua Shang
Abstract
Let F be a family of meromorphic function in the unit disc △ and let a、b are two non-zeros value,and let k be a positive integer.If for each f∈F,the zeros of f are of multiplicity ≥k+1, the poles of f are of multiplicity,and f(z)=b whenever f~((k))(z)=a,then F is normal in △.
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Let F be a family of meromorphic function in the unit disc △ and let a、b are two non-zeros value,and let k be a positive integer.If for each f∈F,the zeros of f are of multiplicity ≥k+1, the poles of f are of multiplicity,and f(z)=b whenever f~((k))(z)=a,then F is normal in △.
Key concepts: Meromorphic function, Multiplicity (mathematics), Normal family, Mathematics, Combinatorics, Integer (computer science), Pi, Function (biology)