Kyungpook Mathematical Journal

  • 제48권4호
  • /
  • Pages.623-636
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  • 2008
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Meromorphic Functions with Three Weighted Sharing Values

  • Li, Xiao-Min (Department of Mathematics, Ocean University of China) ;
  • Yi, Hong-Xun (Department of Mathematics, Shandong University)
  • 투고 : 2006.10.23
  • 발행 : 2008.12.31
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초록

In this paper, we prove some results on uniqueness of meromorphic functions with three weighted sharing values. The results in this paper improve those given by H. X. Yi, I. Lahiri, T. C. Alzahary and H. X. Yi and other authors.

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참고문헌

  1. T. C. Alzahary and H. X. Yi, Weighted sharing three values and uniqueness of meromorphic functions, J. Math. Anal. Appl., 295(2004), 247-257. https://doi.org/10.1016/j.jmaa.2004.03.040
  2. G. G. Gundersen, Meromorphic functions that share three or four values, J. London Math. Soc., 20(1979), 457-566. https://doi.org/10.1112/jlms/s2-20.3.457
  3. W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
  4. I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.
  5. I. Lahiri, Weighted sharing of three values and uniqueness of meromorphic functions, Kodai Math. J., 24(2001), 421-435. https://doi.org/10.2996/kmj/1106168813
  6. I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161(2001), 193-206.
  7. I. Lahiri, On a result of Ozawa concerning uniqueness of meromorphic functions II , J. Math. Anal. Appl., 283(2003), 66-76. https://doi.org/10.1016/S0022-247X(03)00188-4
  8. L. Yang, Value Distribution Theory, Springer-Verlag, Berlin Heidelberg, 1993.
  9. C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht/Boston/London, 2003.
  10. H. X. Yi, Unicity theorems for meromorphic functions that share three values, Kodai Math. J., 18(1995), 300-314. https://doi.org/10.2996/kmj/1138043427