Skip to main content
Log in

Remarks about local maxima of the coefficients of univalent functions

  • Published:
Journal d’Analyse Mathématique Aims and scope

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. E. Bombieri, On the local maximum property of the Koebe function,Inventiones Math.,4 (1967), pp. 26–27.

    Article  MATH  MathSciNet  Google Scholar 

  2. M. Fekete and G. Szegö, Eine Bemerkung über ungerade schlichte Funktionen,J. London Math. Soc.,8 (1933), pp. 85–89.

    Article  MATH  Google Scholar 

  3. P. R. Garabedian, An extension of Grunsky's inequalities bearing on the Bieberbach conjecture,J. d'Analyse Math.,18 (1967), pp. 81–97.

    Article  MATH  MathSciNet  Google Scholar 

  4. P. R. Garabedian, G. G. Ross and M. M. Schiffer, On the Bieberbach conjecture for evenn, J. Math. Mech.,14 (1965), pp. 975–989.

    MATH  MathSciNet  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  6. J. L. Kazdan, A boundary value problem arising in the theory of univalent functions,J. Math. Mech.,13 (1964), pp. 283–303.

    MATH  MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Morse,The calculus of variations in the large, Amer. Math. Soc. Coll. Publ.,18, New York, 1934.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by the U.S. Atomic Energy Commission under Contract AT(30-1)-1480 with New York University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Garabedian, P.R., Swenson, E.V. Remarks about local maxima of the coefficients of univalent functions. J. Anal. Math. 23, 133–138 (1970). https://doi.org/10.1007/BF02795495

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02795495

Keywords

Navigation