DOI QR코드

DOI QR Code

Some Further Results on Uniqueness of Entire Functions and Fixed Points

  • Liu, Yan (Xinzhai People's Government of Yucheng City) ;
  • Yang, Lian-Zhong (Department of Mathematics, Shandong University)
  • Received : 2011.06.25
  • Accepted : 2012.09.10
  • Published : 2013.09.23

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].

Keywords

References

  1. J. Dou, X. G. Qi and L. Z. Yang, Entire functions that share fixed points, Bull. Malays. Math., 34(2)(2011), 355-367.
  2. 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
  3. M. L. Fang and X. H. Hua, Entire functions that share one value, Nanjing Daxue Xuebao Shuxue Bannian Kan., 13(1)(1996), 44-48.
  4. M. L. Fang and H. L. Qiu, Meromorphic functions that share fixed-points, J. Math. Anal. Appl., 268(2000), 426-439.
  5. W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. of Math., 70(1959), 9-42. https://doi.org/10.2307/1969890
  6. W. K. Hayman, Meromorphic Functions, Oxford, 1964.
  7. X. H. Hua and C. C. Yang, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22(2)(1997), 395-406.
  8. W. C. Lin and H. X. Yi, Uniqueness theorems for meromorphic function concerning fixed-points, Complex Var. Theory Appl., 49(11)(2004), 793-806.
  9. W. C. Lin and H. X. Yi, Uniqueness theorems for meromorphic functions, Indian J. Pure Appl. Math., 35(2)(2004), 121-132.
  10. X. G. Qi and L. Z. Yang, Uniqueness of entire functions and fixed points, Ann. Polon. Math., 97(2010), 87-100. https://doi.org/10.4064/ap97-1-7
  11. H. X. Yi, Meromorphic Functions that share one or two values, Kodai Math. J., 22(2)(1999), 264-272. https://doi.org/10.2996/kmj/1138044046
  12. C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, The Netherlands, 2003.
  13. J. L. Zhang, Uniqueness theorems for meromorphic function concerning fixed-points, Comput. Math. Appl., 56(2008), 3079-3087. https://doi.org/10.1016/j.camwa.2008.07.006