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Meromorphic Functions Sharing Three Values

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DOI: 10.4236/am.2011.26095    4,271 Downloads   7,818 Views  

ABSTRACT

In this paper, we prove a result on the uniqueness of meromorphic functions sharing three values counting multiplicity and improve a result obtained by Xiaomin Li and Hongxun Yi.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

C. Li and L. Wang, "Meromorphic Functions Sharing Three Values," Applied Mathematics, Vol. 2 No. 6, 2011, pp. 718-724. doi: 10.4236/am.2011.26095.

References

[1] W. K. Hayman, “Meromorphic Functions,” Clarendon Press, Oxford, 1964.
[2] H. X. Yi and C. C. Yang, “Uniqueness Theory of Meromorphic Functions,” Science Press, Beijing, 1995.
[3] X. M. Li and H. X. Yi, “Meromorphic Function Sharing Three Values,” Journal of the Mathematical Society of Japan, Vol. 56, No. 1, 2004, pp. 147-167.
[4] X. H. Hua and M. L. Fang, “Meromorphoc Functions Sharing Four Small Functions,” Indian Journal of Pure and Applied Mathematics, Vol. 28, No. 6, 1997, pp. 797- 811.
[5] Q. C. Zhang, “Meromorphic Functions Sharing Three Values,” Indian Journal of Pure and Applied Mathematics, Vol. 30, No. 7, 1999, pp. 667-682.
[6] A. Z. Mokhon’ko, “On the Nevanlinna Characteristic of Some Meromorphic Functions,” Theory of Functions, Functional Analysis and Their Applications, Vol. 14, 1971, pp. 83-87.

  
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