Meromorphic Functions Sharing Three Values
Changjun Li, Limei Wang
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DOI: 10.4236/am.2011.26095   PDF   HTML     4,522 Downloads   8,174 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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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