Skip to main content
SpringerLink
Log in

Unbounded holomorphic functions bounded on a spiral

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

References

  1. Arakelian, N. U.: Uniform and tangential approximation with analytic functions (Russian). Izvestija Akad. Nauk. Armjan SSR Ser. Mat.3, no. 4–5, 273–286 (1968).

    Google Scholar 

  2. Bagemihl, F., Erdös, P., Seidel, W.: Sur quelques propriétés frontières des fonctions holomorphes définies par certains produits dans le cercle-unité. Ann. Sci. Ecole Norm. Sup. (3)70, 135–147 (1953).

    Google Scholar 

  3. —, Seidel, W.: Spiral and other asymptotic paths, and paths of complete indetermination of analytic and meromorphic functions. Proc. Nat. Acad. Sci. USA39, 1251–1258 (1953).

    Google Scholar 

  4. ——: Koebe arcs and Fatou points of normal functions. Commentarii Math. Helvet.36, 9–18 (1961).

    Google Scholar 

  5. Choike, J.: An elementary proof of a theorem of Valiron. Amer. Math. Soc. Notices16, 966 (1969).

    Google Scholar 

  6. Collingwood, E. F., Cartwright, M. L.: Boundary theorems for a function meromorphic in the unit circle. Acta Math.87, 83–146 (1952).

    Google Scholar 

  7. Hayman, W. K.: Meromorphic functions. Oxford: Clarendon Press 1964.

    Google Scholar 

  8. Hornblower, R.: Written communication.

  9. Lohwater, A. J.: Oral communication.

  10. MacLane, G. R.: Asymptotic values of holomorphic functions. Rice Univ. Studies49, 83 (1963).

    Google Scholar 

  11. Noshiro, K.: Cluster sets. Berlin-Göttingen-Heidelberg: Springer 1960.

    Google Scholar 

  12. Schnitzer, F., Seidel, W.: On the modulus of unbounded holomorphic functions. Math. Z.88, 301–308 (1965).

    Google Scholar 

  13. Valiron, G.: Fonctions analytiques. Paris: Presses Universitaires de France 1954.

    Google Scholar 

  14. Warren, J.: Doctoral dissertation, Wayne State University 1968.

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Montréal, Montréal, Canada

    Paul M. Gauthier

Authors
  1. Paul M. Gauthier
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gauthier, P.M. Unbounded holomorphic functions bounded on a spiral. Math Z 114, 278–280 (1970). https://doi.org/10.1007/BF01112697

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01112697

Keywords

Search

Navigation