Kyungpook Mathematical Journal

  • 제54권4호
  • /
  • Pages.511-519
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  • 2014
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Uniqueness and Value-Sharing of Meromorphic Functions

  • Waghamore, Harina P. (Department of Mathematics, Central College Campus, Bangalore University) ;
  • Tanuja, A. (Department of Mathematics, Central College Campus, Bangalore University)
  • 투고 : 2011.04.22
  • 심사 : 2013.03.27
  • 발행 : 2014.12.23
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초록

In this paper, we prove two uniqueness theorem on meromorphic functions sharing one value which generalize a recent result of R. S. Dyavanal [2], and on the other hand, we relax the nature of sharing value from CM to IM.

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참고문헌

  1. S. S. Bhoosnurmath and R. S. Dyavanal, Uniqueness and value-sharing of meromorphic functions, Comput. Math. Appl., 53(2007), 1191-1205. https://doi.org/10.1016/j.camwa.2006.08.045
  2. R. S. Dyavanal, Uniqueness and value-sharing of differential polynomials of meromorphic functions, J. Math. Anal. Appl., 374(2011), 335-345. https://doi.org/10.1016/j.jmaa.2010.09.002
  3. W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.
  4. P. Sahoo, Uniqueness of meromorphic functions when two differential polynomials share one value IM, Mat. Bech., 62(2)(2010), 169-182.
  5. L. Yang, Value Distribution Theory, Springer Verlag, Berlin, 1993.
  6. H. X. Yi, C. C. Yang, Unicity Theory of Meromorphic Functions, Science Press, Beijing, 1995.