Skip to main content
SpringerLink
Log in

On a conjecture of Robertson

  • Published:
Archive for Rational Mechanics and Analysis 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. Bieberbach, L., Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln. S.-B. preuss. akad. Wiss. 138, 940–955 (1916).

    Google Scholar 

  2. Charzynski, Z., & M. Schiffer, A new proof of the Bieberbach conjecture for the fourth coefficient. Arch. Rational Mech. Anal. 5, 187–193 (1960).

    Google Scholar 

  3. Garabedian, P.R., G.G. Ross, & M.M. Schiffer, On the Bieberbach conjecture for even n. J. Math. Mech. 14, 975–989 (1965).

    Google Scholar 

  4. Garabedian, P.R., & M. Schiffer, A proof of the Bieberbach conjecture for the fourth coefficient. J. Rat. Mech. Anal. 4, 427–465 (1955).

    Google Scholar 

  5. Garabedian, P.R., & M. Schiffer, The local maximum theorem for the coefficients of univalent functions. Arch. Rational Mech. Anal. 26, 1–32 (1967).

    Google Scholar 

  6. Golusin, G.M., Geometrical Theory of Functions of a Complex Variable. Moscow, 1952. (German translation: Berlin, 1957.)

  7. Grunsky, H., Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen. Math. Z. 45, 29–61 (1939).

    Google Scholar 

  8. Koebe, P., Über die Uniformisierung der algebraischen Kurven. II. Math. Ann. 69, 1–81 (1910).

    Google Scholar 

  9. Loewner, K., Untersuchungen über schlichte konforme Abbildungen des Einheitskreises I. Math. Ann. 89, 103–121 (1923).

    Google Scholar 

  10. MacGregor, T.H., Majorization by univalent functions. Duke Math. J. 34, 95–102 (1967).

    Google Scholar 

  11. Robertson, M.S., A remark on the odd schlicht functions. Bull. Amer. Math. Soc., Series 2, 42, 366–370 (1936).

    Google Scholar 

  12. Schur, I., Ein Satz über quadratische Formen mit komplexen Koeffizienten. Amer. J. Math. 67, 472–480 (1945).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Israel Institute of Technology, Technion, Haifa

    Schmuel Friedland

Authors
  1. Schmuel Friedland
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by M. M. Schiffer

This paper is part of the author's Master of Science dissertation at the Technion (Israel Institute of Technology). The work was performed under Professor E. Netanyahu's supervision.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedland, S. On a conjecture of Robertson. Arch. Rational Mech. Anal. 37, 255–261 (1970). https://doi.org/10.1007/BF00251606

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251606

Keywords

Search

Navigation