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Normality and exceptional functions of derivatives

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Yan Xu
Yan Xu
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China e-mail: xuyan@njnu.edu.cn
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Abstract

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In this paper, we obtain some normality criteria for families of meromorphic functions that concern the exceptional functions of derivatives, which improve and generalize related results of Gu, Yang, Schwick, Wang-Fang, and Pang-Zalcman. Some examples are given to show the sharpness of our results.

Keywords

meromorphic functionnormal familyexceptional functions

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 76 , Issue 3 , June 2004 , pp. 403 - 414
Copyright
Copyright © Australian Mathematical Society 2004

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