Kyungpook Mathematical Journal

  • 제48권1호
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  • Pages.25-35
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  • 2008
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Uniqueness Theorems For Differential Polynomials Concerning Fixed-Points

  • Chao, Meng (Department of Mathematics, Shandong University)
  • 투고 : 2006.06.19
  • 발행 : 2008.03.31
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초록

In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials that share fixed-points. Moreover we extend former results of W. C. Lin and H. X. Yi.

키워드

참고문헌

  1. A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587-3598.
  2. M. L. Fang and W. Hong, A unicity theorem for entire functions concerning differential polynimials, Indian J. pure appl. Math., 32(2001), 1343-1348.
  3. G. Frank and M. Reiders, A unique range set for meromorphic functions with 11 elements, Complex Variables Theory and Appl., 37(1998), 185-193. https://doi.org/10.1080/17476939808815132
  4. W. K. Hayman, Meromorphic Functions, Clarendon, Oxford, 1964.
  5. W. C. Lin and H. X. Yi, Uniqueness theorems for meromorphic functions concerning fixed-points, Complex Variables Theory and Appl., 49(2004), 793-806. https://doi.org/10.1080/02781070412331298624
  6. C. C. Yang, On deficiencies of differential polynomiaals, Math. Z., 125(1972), 107-112. https://doi.org/10.1007/BF01110921
  7. C. C. Yang and X. H. Hua, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22(1997), 395-406.
  8. H. X. Yi, Meromorphic functions that share one or two value, Complex Variables Theory Appl., 28(1)(1995), 1-11. https://doi.org/10.1080/17476939508814832
  9. Q. C. Zhang, Meromorphic functions that shares one small function with its derivative, J. Inequal. Pure Appl. Math., 6(116)(2005).

피인용 문헌

  1. Generalization of Uniqueness Theorems for Entire and Meromorphic Functions vol.05, pp.08, 2014, https://doi.org/10.4236/am.2014.58118
  2. THE UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE DIFFERENTIAL POLYNOMIALS SHARE SOME VALUES vol.33, pp.5_6, 2015, https://doi.org/10.14317/jami.2015.475