Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지
DOI QR코드

DOI QR Code

UNIQUENESS FOR THE POWER OF A MEROMORPHIC FUNCTION

  • MENG, CHAO (School of Science, Shenyang Aerospace University) ;
  • LI, AND XU (Department of Research and Development Center, AVIC SAC Commercial Aircraft Company Limited)
  • Received : 2016.03.12
  • Accepted : 2016.11.30
  • Published : 2017.01.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we investigate the uniqueness problem related to the power of a meromorphic functions sharing a small function with its derivative. The results in this paper improve and generalize some well known previous results.

Keywords

References

  1. A. Banerjee, On uniqueness of meromorphic functions when two differential monomials share one value,Bull. Korean Math. Soc. 44 (2007), 607-622. https://doi.org/10.4134/BKMS.2007.44.4.607
  2. W.K. Hayman, Meromorphic Functions, Clarendon, Oxford, 1964.
  3. S.H. Lin and W.C. Lin, Uniqueness of meromorphic functions concerning weakly weighted sharing, Kodai Math. J. 29 (2006), 269-280. https://doi.org/10.2996/kmj/1151936441
  4. C. Meng, On unicity of meromorphic function and its kth order derivative, J. Math. Inequal. 4 (2010), 151-159.
  5. L.A. Rubel and C.C.Yang, Values shared by an entire function and its derivatives, In: Complex Analysis, Kentucky 1976 (Proc. Conf), Lecture Notes in Mathematics, Vol. 599, Springer-Verlag, Berlin, 1977, 101-103.
  6. C.C. Yang, On deficiencies of differential polynomials, Math. Z. 125 (1972), 107-112. https://doi.org/10.1007/BF01110921
  7. L. Yang, Value distribution theory, Springer-Verlag, Berlin, 1993.
  8. K.W. Yu, On entire and meromorphic functions that share small functions with their derivatives, J. Inequal. Pure Appl. Math. 4(1)(2003), Art. 21.
  9. J.L. Zhang and L.Z. Yang, A power of a meromorphic function sharing a small function with its derivative, Ann. Acad. Sci. Fenn. Math. 34 (2009), 249-260.
  10. J.L. Zhang, Meromorphic functions sharing a small function with their differential polynomials, Kyungpook Math. J. 50 (2010), 345-355. https://doi.org/10.5666/KMJ.2010.50.3.345
  11. Q.C. Zhang, Meromorphic function that share one small function with its derivative, J. Inequal. Pure Appl. Math. 6(4) (2005), Art.116.
  12. X.B. Zhang, A power of a meromorphic function sharing a small function with its derivative , J. Wuyi University, 26 (2012), 1-5.