Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

LINEAR DIFFERENTIAL POLYNOMIALS SHARING A SET OF THE ROOTS OF UNITY

  • Received : 2020.01.12
  • Accepted : 2020.03.12
  • Published : 2020.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we consider the uniqueness of meromorphic functions when two linear differential polynomials share a set of values. Our result improves and rectifies a result of An and Khoai.

Keywords

References

  1. V. H. An and H. H. Khoai, On uniqueness for meromorphic functions and their nth derivatives, Ann. Univ. Sci. Budapest. Sect. Comput. 47 (2018), 117-126.
  2. S. S. Bhoosnurmath and R. S. Dyavanal, Uniqueness and value-sharing of meromorphic functions, Comput. Math. Appl. 53 (2007), no. 8, 1191-1205. https://doi.org/10.1016/j.camwa.2006.08.045
  3. M. Fang, Uniqueness and value-sharing of entire functions, Comput. Math. Appl. 44 (2002), no. 5-6, 823-831. https://doi.org/10.1016/S0898-1221(02)00194-3
  4. M. Fang and X. Hua, Entire functions that share one value, Nanjing Daxue Xuebao Shuxue Bannian Kan 13 (1996), no. 1, 44-48.
  5. W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964.
  6. I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161 (2001), 193-206. https://doi.org/10.1017/S0027763000027215
  7. I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Variables Theory Appl. 46 (2001), no. 3, 241-253. https://doi.org/10.1080/17476930108815411
  8. C.-C. Yang and X. Hua, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22 (1997), no. 2, 395-406.
  9. C.-C. Yang and H.-X. Yi, Uniqueness theory of meromorphic functions, Mathematics and its Applications, 557, Kluwer Academic Publishers Group, Dordrecht, 2003.
  10. X.-Y. Zhang, J.-F. Chen, and W.-C. Lin, Entire or meromorphic functions sharing one value, Comput. Math. Appl. 56 (2008), no. 7, 1876-1883. https://doi.org/10.1016/j.camwa.2008.04.008