Skip to main content
Log in

Bloch constants for meromorphic functions

  • 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

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ahlfors, L.V., Grunsky, H.: Über die Blochsche Konstante. Math. Z.42, 671–673 (1937)

    Google Scholar 

  2. Fejes Tóth, G.: Kreisüberdeckung der Sphäre. Studia Sci. Math. Hungar.4, 225–247 (1969)

    Google Scholar 

  3. Fejes Tóth, L.: Lagerung in der Ebene, auf der Kugel und im Raum. Die Grundlehren der mathematischen Wissenschaften65. Berlin-Heidelberg-New York: Springer 1953

    Google Scholar 

  4. Fejes Tóth, L.: Perfect distribution of points on a sphere. Period. Math. Hungar.1, 25–33 (1971)

    Google Scholar 

  5. Heins, M.: Selected topics in the classical theory of functions of a complex variable. New York: Holt, Rinehart and Winston 1962

    Google Scholar 

  6. Minda, C.D.: Bloch constants. J. Analyse Math. (to appear)

  7. Nevanlinna, R.: Uniformisierung, 2nd ed. Die Grundlehren der mathematischen Wissenschaften64. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  8. Peschl, E.: Über die Verwendung von Differentialinvarianten bei gewissen Funktionenfamilien und die Übertragung einer darauf gegründeten Methode auf partielle Differentialgleichungen vom elliptischen Typus. Ann. Acad. Sci. Fenn. Ser. AI336/6 (1963)

  9. Peschl, E.: Über unverzweigte konforme Abbildungen. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. S.-B. II185, 55–78 (1976)

    Google Scholar 

  10. Pommerenke, Ch.: Estimates for normal meromorphic functions. Ann. Acad. Sci. Fenn. Ser. AI476 (1970)

  11. Pommerenke, Ch.: On Bloch functions. J. London Math. Soc. (2)2, 689–695 (1970)

    Google Scholar 

  12. Pommerenke, Ch.: Normal functions. In: Proceedings of the NRL conference on classical function theory (Washington 1970), pp. 77–93. Washington: Mathematical Research Center, Naval Research Laboratory 1970

    Google Scholar 

  13. Sario, L., Noshiro, H.: Value Distribution Theory. The University Series in Higher Mathematics. Princeton-Toronto-New York-London: Van Nostrand 1966

    Google Scholar 

  14. Springer, G.: Introduction to Riemann surfaces. Reading Massachusetts: Addison-Wesley 1957

    Google Scholar 

  15. Stegenga, D., Stephenson, K.: A geometric characterization of analytic functions with bounded mean oscillation. J. London Math. Soc. (2)24, 243–254 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Minda, C.D. Bloch constants for meromorphic functions. Math Z 181, 83–92 (1982). https://doi.org/10.1007/BF01214983

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214983

Keywords

Navigation