Skip to main content
SpringerLink
Log in

Uniqueness of Meromorphic Functions and Their Differential Polynomials

  • Published:
Vietnam Journal of Mathematics Aims and scope Submit manuscript

Abstract

This paper studies uniqueness problem of two meromorphic functions whose differential polynomials share a small function. The results extend and improve a theorem given in Wang and Gao (Abstr. Appl. Anal. Art. 2007, 60718, 2007).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Fang, C.-Y., Fang, L.-M.: Uniqueness of meromorphic functions and differential polynomials. Comput. Math. Appl. 44,  607–617 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Fang, M.L., Guo, H.: On unique range sets for meromorphic or entire functions. Acta. Math. Sin.  14,  569–576 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  3. Fang, M.L., Qiu, H.L.: Meromorphic functions that share fixed-points. J. Math. Anal. Appl.  268,  426–439 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Hayman, W.K.: Meromorphic Functions. Clarendon Press, Oxford (1964)

    MATH  Google Scholar 

  5. Wang, S.M., Gao, Z.S.: Meromorphic functions sharing a small function. Abstr. Appl. Anal. Art.  2007,  60718 (2007)

    Google Scholar 

  6. Yang, C.C.: On deficiencies of differential polynomials, π. Math. Z.  125,  107–112 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  7. Yang, C.C., Hua, X.: Uniqueness and value-sharing of meromorphic functions. Ann. Acad. Sci. Fenn. Math.  22,  395–406 (1997)

    MATH  MathSciNet  Google Scholar 

  8. Yang, C.C., Yi, H.X.: Uniqueness Theory of Meromorphic Functions. Science Press/Kluwer, Beijing (2003)

    Book  MATH  Google Scholar 

  9. Yang, L.: Value distribution theory and new research. Science Press, Beijing (1982)

    MATH  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11326083, 11301140, and U1304102), by Tianyuan Youth Fund of the National Natural Science Foundation of China (Grant No. 11326083), by Shanghai University Young Teacher Training Program (Grant No. ZZSDJ12020), by Innovation Program of Shanghai Municipal Education Commission(Grant No. 14YZ164) and Projects (Grant No. 13XKJC01) from the Leading Academic Discipline Project of Shanghai Dianji University.

Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, 201306, People’s Republic of China

    Jianming Qi

  2. School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, People’s Republic of China

    Lei Qiao

Authors
  1. Jianming Qi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Lei Qiao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Lei Qiao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qi, J., Qiao, L. Uniqueness of Meromorphic Functions and Their Differential Polynomials. Vietnam J. Math. 43, 121–130 (2015). https://doi.org/10.1007/s10013-014-0076-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10013-014-0076-0

Keywords

Mathematics Subject Classification (2010)

Search

Navigation