Value Distribution of the kth Derivatives of Meromorphic Functions

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DOI: 10.4236/apm.2014.41002    3,500 Downloads   5,499 Views   Citations

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.

Cite this paper

P. Yang and X. Liu, "Value Distribution of the kth Derivatives of Meromorphic Functions," Advances in Pure Mathematics, Vol. 4 No. 1, 2014, pp. 11-16. doi: 10.4236/apm.2014.41002.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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