Skip to main content
Log in

On the zeros of certain homogeneous differential polynomials

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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.

References

  1. L. V. Ahlfors, An extension of Schwarz's lemma. Trans. Amer. Math. Soc.48, 359–364 (1938).

    Google Scholar 

  2. W. Bergweiler, Iteration of meromorphic functions. Bull. Amer. Math. Soc. (N.S.)29, 151–188 (1993).

    Google Scholar 

  3. W.Bergweiler and A.Eremenko, On the singularities of the inverse of a meromorphic function of finite order. Rev. Mat. Iberoamericana, to appear.

  4. A. E. Eremenko andM. Y. Lyubich, Dynamical properties of some classes of entire functions. Ann. Inst. Fourier (Grenoble)42, 989–1020 (1992).

    Google Scholar 

  5. W. K. Hayman, Picard values of meromorphic functions and their derivatives. Ann. of Math.70, 9–42 (1959).

    Google Scholar 

  6. W. K.Hayman, Meromorphic functions. Oxford 1964.

  7. G.Jank und L.Volkmann, Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen. Basel-Boston-Stuttgart 1985.

  8. J. K. Langley, Proof of a conjecture of Hayman concerninf andf″. J. London Math. Soc. (2)48, 500–514 (1993).

    Google Scholar 

  9. E. Mues, Über eine Vermutung von Hayman. Math. Z.119, 11–20 (1971).

    Google Scholar 

  10. E. Mues, Über die Nullstellen homogener Differentialpolynome. Manuscripta Math.23, 325–341 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bergweiler, W. On the zeros of certain homogeneous differential polynomials. Arch. Math 64, 199–202 (1995). https://doi.org/10.1007/BF01188569

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01188569

Keywords

Navigation