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Some Further Results on Uniqueness of Entire Functions and Fixed Points

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In this paper, we investigate the uniqueness problem on entire functions sharing fixed points (ignoring multiplicities). Our main results improve and generalize some results due to Zhang [13], Qi-Yang [10] and Dou-Qi-Yang [1].

Abstract

In this paper, we investigate the uniqueness problem on entire functions sharing fixed points (ignoring multiplicities). Our main results improve and generalize some results due to Zhang [13], Qi-Yang [10] and Dou-Qi-Yang [1].

참고문헌 (13)

  1. J. Dou, "Entire functions that share fixed points", Bull. Malays. Math., 34(2), pp.355~367 (2011)
  2. M. L. Fang, "Uniqueness and value-sharing of entire functions", Comput. Math. Appl., 44, pp.823~831 (2002)
  3. M. L. Fang, "Entire functions that share one value", Nanjing Daxue Xuebao Shuxue Bannian Kan, 13(1), pp.44~48 (1996)
  4. M. L. Fang, "Meromorphic functions that share fixed-points", J. Math. Anal. Appl., 268 (2000)
  5. W. K. Hayman, "Picard values of meromorphic functions and their derivatives", Ann. of Math., 70, pp.9~42 (1959)
  6. W. K. Hayman, "Meromorphic Functions" (1964), Oxford
  7. X. H. Hua, "Uniqueness and value-sharing of meromorphic functions", Ann. Acad. Sci. Fenn. Math., 22(2), pp.395~406 (1997)
  8. W. C. Lin, "Uniqueness theorems for meromorphic function concerning fixed-points", Complex Var. Theory Appl., 49(11), pp.793~806 (2004)
  9. W. C. Lin, "Uniqueness theorems for meromorphic functions", Indian J. Pure Appl. Math., 35(2), pp.121~132 (2004)
  10. X. G. Qi, "Uniqueness of entire functions and fixed points", Ann. Polon. Math., 97, pp.87~100 (2010)
  11. H. X. Yi, "Meromorphic Functions that share one or two values", Kodai Math. J., 22(2), pp.264~272 (1999)
  12. C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers
  13. J. L. Zhang, "Uniqueness theorems for meromorphic function concerning fixed-points", Comput. Math. Appl., 56, pp.3079~3087 (2008)

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