Skip to main content
SpringerLink
Log in

Unicity theorems for entire or meromorphic functions

  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this paper, we deal with the problem of uniqueness of entire or meromorphic functions and obtain some results that are improvements over those of M. Ozawa, H. Ueda, K. Shibazaki and Yi Hongxun. An example shows that the results in this paper are sharp.

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

    MATH  Google Scholar 

  2. Ozawa, M.,Unicity theorems for entire functions, J. D' Anal. Math.,30 (1976), 411–420.

    Article  MATH  MathSciNet  Google Scholar 

  3. Ueda, H.,Unicity theorems for meromorphic or entire functions II, Kodai Math. J.,6 (1983), 26–36.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  5. Yi Hongxun,A question of C. C. Yang on the uniqueness of entire functions, Kodai Math. J.,13 (1990), 39–46.

    Article  MATH  MathSciNet  Google Scholar 

  6. Shibazaki, K.,Unicity theorems for entire functions of finite order, Memoirs of the National Defense Academy, Japan,21:3 (1981), 67–71.

    MATH  Google Scholar 

  7. Yi Hongxun,Meromorphic functions that share two or three values, Kodai Math. J.,13(1990), 363–372.

    Article  MathSciNet  Google Scholar 

  8. Nevanlinna, R., Le Théorèms de Picard-Borel et la Théorie des Fonctions Méromorphes, Gauthier-Villars, Paris, 1929.

    Google Scholar 

  9. Yang Le, Value Distribution Theory and New Research on It, Beijing, Science Press, 1982.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Shandong University, 250100, Jinan, China

    Yi Hongxun

Authors
  1. Yi Hongxun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hongxun, Y. Unicity theorems for entire or meromorphic functions. Acta Mathematica Sinica 10, 121–131 (1994). https://doi.org/10.1007/BF02580418

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02580418

Keywords

Search

Navigation