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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

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