Skip to main content
Log in

Coefficient estimates for univalent polynomials

  • 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.

Bibliography

  1. L. Bieberbach,Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln, K. Preuss. Wiss. Berlin, Sitzungsbereichte138 (1916), 940–955.

    Google Scholar 

  2. J. Dieudonné,Sur les fonctions univalentes, C. R. Acad. Sci. Ser. A,192 (1931), 1148–1150.

    MATH  Google Scholar 

  3. J. Dieudonné,Recherches sur quelque problèmes relatifs aux polynomes et aux fonctions bornées d'une variable complexe, Ann. École Norm. (3)48 (1931), 247–358.

    Google Scholar 

  4. C. FitzGerald,Quadratic inequalities and coefficient estimates for schlicht functions, Arch. Rational Mech. Anal.46 (1972), 356–368.

    Article  MATH  MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  6. D. Horowitz,A refinement for coefficient estimates of univalent functions, Proc. Amer. Math. Soc.54 (1976), 176–178.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  8. R. Pederson,A proof of the Bieberbach Conjecture for the sixth coefficient, Arch. Rational Mech. Anal.31 (1968), 331–351.

    Article  MATH  MathSciNet  Google Scholar 

  9. R. Pederson and M. Schiffer,A proof of the Bieberbach Conjecture for the fifth coefficient, Arch. Rational Mech. Anal.45 (1972), 161–193.

    Article  MATH  MathSciNet  Google Scholar 

  10. W. Rogosinski,Über positive harmonische Entwicklungen und typische realle Potenzreihen, Math. Z.35 (1932), 93–121.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was partially supported by the National Science Foundation grant number NSF GP32156.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Horowitz, D. Coefficient estimates for univalent polynomials. J. Anal. Math. 31, 112–124 (1977). https://doi.org/10.1007/BF02813300

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02813300

Keywords

Navigation