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Bieberbach’s conjecture for tourists

Part of the Lecture Notes in Mathematics book series (LNM,volume 908)

Keywords

  • Univalent Function
  • Half Plane
  • Starlike Function
  • Koebe Function
  • BIEBERBACH Conjecture

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References

  1. A. Baernstein, Integral means, univalent functions, and circular symmetrization, Acta Math 133 (1974) 139–169.

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  2. A. Baernstein and G. Schober, Estimates for inverse coefficients from integral means, Israel J. Math. 36 (1980), 75–82.

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  3. P.L. Duren, Coefficients of univalent functions, Bull. Amer. Math. Soc. 83 (1977), 891–911.

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  4. P.L. Duren, Extremal problems for univalent functions, in Aspects of Contemporary Complex Analysis, edited by D.A. Brannan and J.G. Clunie, Academic Press, London, 1980.

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  5. Gong Sheng, A simple proof of Bieberbach conjecture for sixth coefficient, Sci. Sinica 23 (1980) no. 1, 1–15.

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  6. J.A. Jenkins, Symmetrization results for some conformal invariants, Amer. J. Math. 75 (1953), 510–522.

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  7. Ch. Pommerenke, Univalent Functions, Vanderhoeck and Ruprecht, Göttingen, 1975.

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  8. G. Schober, Univalent Functions—Selected Topics, Springer-Verlag Lecture Notes in Math. #478, 1975.

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© 1982 Springer-Verlag

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Baernstein, A. (1982). Bieberbach’s conjecture for tourists. In: Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093280

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  • DOI: https://doi.org/10.1007/BFb0093280

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11188-7

  • Online ISBN: 978-3-540-38973-6

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