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ON THE MULTIPLE VALUES AND UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING SMALL FUNCTIONS AS TARGETS

  • Cao, Ting-Bin (DEPARTMENT OF MATHEMATICS NANCHANG UNIVERSITY) ;
  • Yi, Hong-Xun (DEPARTMENT OF MATHEMATICS SHANDONG UNIVERSITY)
  • Published : 2007.11.30

Abstract

The purpose of this article is to deal with the multiple values and uniqueness of meromorphic functions with small functions in the whole complex plane. We obtain a more general theorem which improves and extends strongly the results of R. Nevanlinna, Li-Qiao, Yao, Yi, and Thai-Tan.

Keywords

meromorphic function;uniqueness theorem;multiple values;small function

References

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  2. Y. H. Li and J. Y. Qiao, The uniqueness of meromorphic functions concerning small functions, Sci. China Ser. A 43 (2000), no. 6, 581-590 https://doi.org/10.1007/BF02908769
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  5. H. X. Yi, On one problem of uniqueness of meromorphic functions concerning small functions, Proc. Amer. Math. Soc. 130 (2002), no. 6, 1689-1697 https://doi.org/10.1090/S0002-9939-01-06245-1
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Cited by

  1. A NOTE ON NEVANLINNA'S FIVE VALUE THEOREM vol.52, pp.2, 2015, https://doi.org/10.4134/BKMS.2015.52.2.345
  2. Two meromorphic functions share some pairs of small functions with truncated multiplicities vol.34, pp.6, 2014, https://doi.org/10.1016/S0252-9602(14)60129-6
  3. On the multiple values and uniqueness of meromorphic functions on annuli vol.58, pp.7, 2009, https://doi.org/10.1016/j.camwa.2009.07.042
  4. TWO MEROMORPHIC FUNCTIONS SHARING SETS CONCERNING SMALL FUNCTIONS vol.46, pp.6, 2009, https://doi.org/10.4134/BKMS.2009.46.6.1189