Skip to main content
SpringerLink
Log in

Further results of some uniqueness theorems for meromorphic functions whosen-th derivatives share the same 1-points

  • Published:
Advances in Applied Clifford Algebras Aims and scope Submit manuscript

Abstract

In this paper, we consider the problem of the uniqueness for meromorphic functions whosen-th derivatives share the same 1-points. The results in this paper are different from all of theorems given by H. X. Yi and C. C. Yang and other authors.

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. G. Brosch,Eindeutigkeitssätze für Meromorphe Funktionen. Thesis, Technical University of Aachen, 1989.

  2. M. L. Fang,On the uniqueness of admissible meromorphic functions in the unit disk. Science in China28 (12) (1998), 1074–1086 (in Chinese).

    Google Scholar 

  3. W. K. Hayman,Meromorphic Functions. Clarendon Press, Oxford, 1964.

    MATH  Google Scholar 

  4. X. H. Hua,Sharing values and a conjecture due to C. C. Yang. Pacific J. Math.275 (1) (1996), 75–84.

    Google Scholar 

  5. I. Laine,Nevanlinna Theory and Complex Differential Equations. W. de Gruyter, Berlin, 1993.

    Book  Google Scholar 

  6. C. C. Yang,On two entire functions which together with their first derivatives have the same zeros. J. Math. Anal. Appl.56 (1976), 1–6.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. X. Yi,Uniqueness of meromorphic functions and a question of C. C. Yang. Complex Variables14 (1990), 169–176.

    MATH  Google Scholar 

  8. H. X. Yi and C. C. Yang, {Unicity theorems for two meromorphic functions with their first derivatives having the same 1 points}. Acta Math. Sinica34 (5) (1991), 675–680.

    MathSciNet  MATH  Google Scholar 

  9. H. X. Yi and C. C. Yang,A uniqueness theorem for meromorphic functions whose n-th derivatives share the same 1-points. J. Anal. Math.62 (1994), 261–270.

    Article  MathSciNet  MATH  Google Scholar 

  10. H. X. Yi and C. C. Yang, {Unicity theory of meromorphic functions}. Science Press, Beijing, 1995 (in Chinese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Guangzhou Normal University, 510405, Guangzhou, P. R. China

    Yuan Wenjun

  2. Department of Mathematics, Xinjiang Normal University, 830053, Urumqi, P. R. China

    Tian Hong-gen

Authors
  1. Yuan Wenjun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tian Hong-gen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wenjun, Y., Hong-gen, T. Further results of some uniqueness theorems for meromorphic functions whosen-th derivatives share the same 1-points. AACA 11 (Suppl 2), 317–325 (2001). https://doi.org/10.1007/BF03219142

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03219142

Keywords

Search

Navigation