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Two meromorphic functions sharing five small functions in the sense of Ēk)(β, f) = Ēk)(β, g)*

Published online by Cambridge University Press:  22 January 2016

Weihong Yao
Weihong Yao*
Affiliation:
Mathematics Department, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China, yaoweihong1962@163.com
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Abstract

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In this paper, we proved a result that if two meromorphic functions f(z) and g(z) share five small functions aj(z) (j = 1,…,5) in the sense of (j = 1,…,5) (k ≥ 22), then we have f(z) ≡ g(z).

Keywords

30D35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 167 , 2002 , pp. 35 - 54
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

Footnotes

*

Project supported by the NSFC and the RFDP.

References

[1] Nevanlinna, R., Le théorème de Picard-Borel et la théorie des fonctions meromorphes, Gauthier-Villars, Paris, 1929.Google Scholar
[2] Yuhua, Li and Jianyong, Qiao, On the Uniqueness of Meromorphic Functions Concerning Small Functions, Science in China (A), 29 (1999), 891–900.Google Scholar
[3] Yuhua, Li, On the Uniqueness of Meromorphic Functions Concerning Sharing Values and Sets, Doctoral Thesis, Shandong University, 1998.Google Scholar
[4] Qingcai, Zhang, Meromorphic Functions Sharing Values or Sets, Doctoral Thesis, Shandong University, 1999.Google Scholar
[5] Yi, H.X. and Yang, C.C., Uniqueness Theory of Meromorphic Functions (in Chinese), Science Press, Beijing, 1995.Google Scholar
[6] Hayman, W.K., Meromorphic Functions, Clarendon Press, Oxford, 1964.Google Scholar
[7] Mues, E., Meromorphic Functions Sharing Four Values, Complex Variables Theory Appl., 12 (1989), 169–179.Google Scholar
[8] Qingde, Zhang, A Uniqueness Theory for Meromorphic Functions with Respect to Slowly Growing Functions (in Chinese), Acta Math.Sinica, 36 (1993), 826–833.Google Scholar
[9] Weihong, Yao, On the Uniqeness of Meromorphic Functions Concerning Sharing Values and Small Functions, Doctoral Thesis, Shandong University, 2000.Google Scholar