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On the grunsky inequalities for univalent functions

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References

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

    Google Scholar 

  2. 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 

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

    Google Scholar 

  4. Jenkins, J. A., Univalent functions and conformai mapping. Erg. der Math. u. ihrer Grenzgeb. vol. 18, Berlin 1965.

  5. Jenkins, J. A., Some area theorems and a special coefficient theorem. Illinois J. Math. 8, 80–99 (1964).

    Google Scholar 

  6. Milin, I. M., The area method in the theory of univalent functions. Soviet Math. Doklady 5, 78–81 (1964).

    Google Scholar 

  7. Nehari, Z., Conformal Mapping. New York 1952.

  8. Pommerenke, Ch., Über die Faberschen Polynome schlichter Funktionen. Math. Z. 85, 197–208 (1964).

    Google Scholar 

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

    Google Scholar 

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Communicated by M. M. Schiffer

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Pommerenke, C. On the grunsky inequalities for univalent functions. Arch. Rational Mech. Anal. 35, 234–244 (1969). https://doi.org/10.1007/BF00247516

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