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NORMAL FAMILIES OF ZERO-FREE MEROMORPHIC FUNCTIONS
Published online by Cambridge University Press: 16 November 2011
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 91 , Issue 3 , December 2011 , pp. 313 - 322
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
Research supported by the NNSF of China (Grant No. 11071083).
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