The Coefficient Problem for Schlicht Mappings of the Exterior of the Unit Circle

@inproceedings{Springer2010TheCP,
  title={The Coefficient Problem for Schlicht Mappings of the Exterior of the Unit Circle},
  author={George Springer},
  year={2010}
}
The underlying problem confronting us in this paper is the determination of precise upper bounds for the moduli of the coefficients in these normalized expansions at » for functions in the classes S and T. This problem for the first two coefficients in each class has already been solved. We note first that since 4> and / are inverse, ai= —bx and a2= —b2, so for these two cases, discussion of only one of the two classes is necessary. For higher coefficients, the a's and b's are related by… CONTINUE READING

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References

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Showing 1-10 of 14 references

The coefficient regions of schlicht functions

  • A. C. Schaeffer, M. Schiffer, D. C. Spencer
  • Duke Math. J. vol
  • 1949

A method of variation within the family of simple functions

  • M. Schiffer
  • Proc. London Math. Soc
  • 1938

Golusin, Einige Koeffizientenabschaetzungen fuer schlicht Funktionen

  • G M.
  • Rec. Math. (Mat. Sbornik) N.S. vol
  • 1938

The coefficient regions of schlicht functions Schiffer , A method of variation within the family of simple functions

  • M. Schiffer, D. C. Spencer
  • Bull . Soc . Math . France
  • 1938

Sur quelques majorantes de la théorie des fonctions univalentes

  • M. Biernacki
  • C. R. Acad. Sei. Paris vol
  • 1935

Sur le module des coefficients de MacLaurin d'une fonction univalente

  • F. Marty
  • C. R. Acad. Sei. Paris vol
  • 1934

Untersuchungen ueber schlichte konforme Abbildungen des Einheitskreises

  • K. Loewner
  • Math. Ann. vol
  • 1923

Sur une équation aux dérivées fonctionelles

  • G. Julia
  • Ann. École Norm. (3) vol
  • 1922

Neuer Beweis eines Koebe-Bieberbachschen Satzes ueber konforme Abbildung

  • G. Faber
  • Akademie der Wissenschaften, Munich…
  • 1918

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