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Products of spherical derivatives and normal functions

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Chen Huaihui  and
Peter Lappan
Chen Huaihui
Affiliation:
Department of Mathematics Nanjing Normal University Nanjing, Jiangsu 210024 Peoples Republic of China e-mail: hhchen@pine.njnu.edu.cn
Peter Lappan
Affiliation:
Department of Mathematics Michigan State UniversityEast Lansing, Michigan 48824USA e-mail: plappan@math.msu.edu
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Abstract

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Chen and Gu [1] have given some results relating to normal families, and, in this paper, we give versions of these results valid for normal functions. In the process, we improve some of our previous results involving products of certain spherical derivatives as they relate to normal functions. Some examples are given to show the sharpness of our results.

MSC classification

Secondary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 2 , April 1998 , pp. 231 - 246
Copyright
Copyright © Australian Mathematical Society 1998

References

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[3]Lappan, P., ‘The spherical derivative and normal functions’, Ann. Acad. Sci. Fenn. Ser. A I Math. 3 (1977), 301–310.CrossRefGoogle Scholar
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