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A joint theorem generalizing the criteria of Montel and Miranda for normal families
Author(s):
Bao Qin
Li
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2639-2646.
MSC (2000):
Primary 30D45, 30D35
Posted:
March 25, 2004
MathSciNet review:
2054789
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Abstract |
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Abstract:
We give a joint normality theorem, which simultaneously generalizes Montel's criterion and Miranda's criterion for normal families.
References:
- [B]
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- W. K. Hayman, Meromorphic Functions, Oxford University Press, London, 1964. MR 29:1337
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- R. Nevanlinna, Analytic Functions, Springer-Verlag, New York, 1970.
MR 43:5003 - [P]
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Additional Information:
Bao Qin
Li
Affiliation:
Department of Mathematics, Florida International University, University Park, Miami, Florida 33199
Email:
libaoqin@fiu.edu
DOI:
10.1090/S0002-9939-04-07452-0
PII:
S 0002-9939(04)07452-0
Keywords:
Holomorphic function,
normal family,
Nevanlinna theory,
order,
spherical derivative
Received by editor(s):
June 3, 2003
Posted:
March 25, 2004
Additional Notes:
Supported in part by NSF Grant DMS-0100486
Communicated by:
Mei-Chi Shaw
Copyright of article:
Copyright
2004,
American Mathematical Society
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