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Value Distribution of the <i>k</i>th Derivatives of Meromorphic Functions
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China
Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China
- 1 College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China
- 2 Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China
Advances in Pure Mathematics·Volume 04 (2014)·Pages 11–16·Published 8 January 2014·DOI10.4236/apm.2014.41002
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Abstract
In the paper, we take up a new method to prove a result of value distribution of meromorphic functions: let f be a meromorphic function in , and let , where P is a polynomial. Suppose that all zeros of f have multiplicity at least , except possibly finite many, and as . Then has infinitely many zeros.
KeywordsMeromorphic FunctionSpherical DerivativeQuasi-Normality
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