Skip to main content
Log in

Uniqueness of admissible meromorphic functions in the unit disc

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

The uniqueness of admissible meromorphic functions in the unit disc is studied.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hayman, W.,Meromorphic Functions, London: Oxford University Press, 1964.

    MATH  Google Scholar 

  2. Yang, L.,Value Distribution Theory, Berlin: Springer-Verlag, 1993.

    MATH  Google Scholar 

  3. Nevanlinna, R., Einige eindeutigkeissatze in der theorie der meromorphen functionen,Acta Math., 1926, 48: 367.

    Article  MATH  MathSciNet  Google Scholar 

  4. Yi, H., Yang, C.,Unicity Theory of Meromorphic Functions (in Chinese), Beijing: Science Press, 1995.

    Google Scholar 

  5. Yi, H., Meromorphic functions with two dificient values,Acta Math. Sinica, 1987, 30: 588.

    MATH  MathSciNet  Google Scholar 

  6. Yi, H., Yang, C., Unicity theorems for meromorphic functions whose derivatives sharing the same 1-points,Acta Math. Sinica, 1991, 34: 675.

    MATH  MathSciNet  Google Scholar 

  7. Yi, H., Yang, C., Unicity theorems for meromorphic functions whosen-th derivatives sharing the same 1-points,J. D’ Anal. Math., 1994, 62: 261.

    Article  MATH  MathSciNet  Google Scholar 

  8. Yi, H., Uniqueness of meromorphic functions and a problem of Gross,Science in China (in Chinese), Ser. A, 1994, 24 (5): 457.

    Google Scholar 

  9. Yi, H., Uniqueness of meromorphic functions and a question of C. C. Yang,Complex Variables, 1990, 14: 169.

    MATH  Google Scholar 

  10. Yang, C., Yi, H., Uniqueness of meromorphic functions with dificient values,Acta Math. Sinica, 1994, 37: 62.

    MATH  MathSciNet  Google Scholar 

  11. Fang, M., Xu, W., On a note of a problem of Gross,Chinese Ann. of Math., 1997, 18A: 563.

    MathSciNet  Google Scholar 

  12. Fang, M., Guo, H., On meromorphic functions sharing two values,Analysis, 1997, 17(4): 355.

    MATH  MathSciNet  Google Scholar 

  13. Li, P., Yang, C., Some further results on the unique range sets of meromorphic functions,Kodai Math. J., 1995, 18: 437.

    Article  MATH  MathSciNet  Google Scholar 

  14. Mues, E., Reinders, M., Meromorphic functions sharing one value and unique range sets,Kodai Math. J., 1995, 18(3): 515.

    Article  MATH  MathSciNet  Google Scholar 

  15. Yi, H., A question of Gross and uniqueness of meromorphic functions,Nagona, 1995, 33(5): 521.

    Google Scholar 

  16. Frank, G., Reinders, M., A unique range set for meromorphic functions with 11 elements,Complex Variables, to appear.

  17. Fang, M., Guo, H., On the unique range set of meromorphic functions,Chinese Advance in Math., 1997, 26(1): 76.

    MATH  Google Scholar 

  18. Hayman, W., Picard values of meromorphic functions and their derivatives,Ann. of Math., 1959, 70: 9.

    Article  MathSciNet  Google Scholar 

  19. Yang, C., On deficiencies of differential polynomials,Math. Z., 1972, 125: 107.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19601021).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fang, M. Uniqueness of admissible meromorphic functions in the unit disc. Sci. China Ser. A-Math. 42, 367–381 (1999). https://doi.org/10.1007/BF02874255

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02874255

Keywords

Navigation