Kyungpook Mathematical Journal

  • 제49권4호
  • /
  • Pages.771-777
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  • 2009
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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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Some Further Results on Entire Functions That Share Fixed-Points

  • 투고 : 2009.02.07
  • 심사 : 2009.05.21
  • 발행 : 2009.12.31
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초록

In this paper, we study the uniqueness problem on entire functions sharing fixed points and prove some theorems which are related to one famous problem of Hayman.

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참고문헌

  1. M. L. Fang, X. H. Hua, Entire functions that share one value, Nanjing Daxue Xuebao Shuxue Bannian Kan, 13(1)(1996), 44-48.
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  3. M. L. Fang, Uniqueness and value-sharing of entire functions, Comput. Math. Appl., 44(2002), 823-831. https://doi.org/10.1016/S0898-1221(02)00194-3
  4. W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. of Math., 70(1959), 9-42. https://doi.org/10.2307/1969890
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  7. C. C. Yang, X. H. Hua, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22(2)(1997), 395-406.
  8. C. C. Yang, H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, The Netherlands, 2003.
  9. H. X. Yi, Meromorphic Functions that share one or two values, Kodai Math. J., 22(1999), 264-272. https://doi.org/10.2996/kmj/1138044046
  10. J. L. Zhang, L. Z. Yang, Some results related to a conjecture of R. Bruck, J. Inequal. Pure Appl. Math., 8(1)(2007), Art. 18.
  11. J. L. Zhang, Uniqueness theorems for entire functions concerning fixed points, Computers and Mathematics with Applications, 56(2008), 3079-3087. https://doi.org/10.1016/j.camwa.2008.07.006

피인용 문헌

  1. Uniqueness of Entire Functions and Differential Polynomials Sharing one Value vol.54, pp.3, 2014, https://doi.org/10.5666/KMJ.2014.54.3.349