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NORMAL FAMILIES OF ZERO-FREE MEROMORPHIC FUNCTIONS

Published online by Cambridge University Press:  16 November 2011

BINGMAO DENG
Affiliation:
Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China (email: [email protected])
MINGLIANG FANG*
Affiliation:
Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China (email: [email protected])
DAN LIU
Affiliation:
Institute of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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Let ℱ be a family of zero-free meromorphic functions in a domain D, let h be a holomorphic function in D, and let k be a positive integer. If the function f(k)h has at most k distinct zeros (ignoring multiplicity) in D for each f∈ℱ, then ℱ is normal in D.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

Research supported by the NNSF of China (Grant No. 11071083).

References

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