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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A joint theorem generalizing the criteria of Montel and Miranda for normal families


Author: Bao Qin Li
Journal: Proc. Amer. Math. Soc. 132 (2004), 2639-2646
MSC (2000): Primary 30D45, 30D35
Published electronically: March 25, 2004
MathSciNet review: 2054789
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Abstract: We give a joint normality theorem, which simultaneously generalizes Montel's criterion and Miranda's criterion for normal families.


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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: http://dx.doi.org/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
Published electronically: March 25, 2004
Additional Notes: Supported in part by NSF Grant DMS-0100486
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2004 American Mathematical Society