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Some Further Results on Entire Functions That Share Fixed-Points

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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.

Abstract

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.

참고문헌 (11)

  1. M. L. Fang, "Entire functions that share one value", Nanjing Daxue Xuebao Shuxue Bannian Kan, 13(1), pp.44~48 (1996)
  2. M. L. Fang, "Meromorphic functions that share xed-points", J. Math. Anal. Appl, 268, pp.426~439 (2000)
  3. M. L. Fang, "Uniqueness and value-sharing of entire functions", Comput. Math. Appl, 44, pp.823~831 (2002)
  4. W. K. Hayman, "Picard values of meromorphic functions and their derivatives", Ann. of Math, 70, pp.9~42 (1959)
  5. W. K. Hayman, "Meromorphic Functions", ~ (1964)
  6. W. C. Lin, "Uniqueness theorems for meromorphic function concerning fixed-points", Complex Var. Theory Appl, 49(11), pp.793~806 (2004)
  7. C. C. Yang, "Uniqueness and value-sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math, 22(2), pp.395~406 (1997)
  8. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Aca-demic Publishers
  9. H. X. Yi, "Meromorphic Functions that share one or two values", Kodai Math. J, 22, pp.264~272 (1999)
  10. J. L. Zhang, "Some results related to a conjecture of R. Bruck", J. Inequal. Pure Appl. Math, 8(1), pp.18~ (2007)
  11. J. L. Zhang, "Uniqueness theorems for entire functions concerning xed points", Com-puters and Mathematics with Applications, 56, pp.3079~3087 (2008)

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