Value Distribution of the kth Derivatives of Meromorphic Functions

Pai Yang, Xiaojun Liu

College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China.
Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China.

DOI: 10.4236/apm.2014.41002                

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.

Keywords

Meromorphic Function; Spherical Derivative; Quasi-Normality

Conflicts of Interest

The authors declare no conflicts of interest.

References

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