References
Bieberbach, L., Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln. S.-B. preuss. akad. Wiss. 138, 940–955 (1916).
Charzynski, Z., & M. Schiffer, A new proof of the Bieberbach conjecture for the fourth coefficient. Arch. Rational Mech. Anal. 5, 187–193 (1960).
Garabedian, P.R., G.G. Ross, & M.M. Schiffer, On the Bieberbach conjecture for even n. J. Math. Mech. 14, 975–989 (1965).
Garabedian, P.R., & M. Schiffer, A proof of the Bieberbach conjecture for the fourth coefficient. J. Rat. Mech. Anal. 4, 427–465 (1955).
Garabedian, P.R., & M. Schiffer, The local maximum theorem for the coefficients of univalent functions. Arch. Rational Mech. Anal. 26, 1–32 (1967).
Golusin, G.M., Geometrical Theory of Functions of a Complex Variable. Moscow, 1952. (German translation: Berlin, 1957.)
Grunsky, H., Koeffizientenbedingungen für schlicht abbildende meromorphe Funktionen. Math. Z. 45, 29–61 (1939).
Koebe, P., Über die Uniformisierung der algebraischen Kurven. II. Math. Ann. 69, 1–81 (1910).
Loewner, K., Untersuchungen über schlichte konforme Abbildungen des Einheitskreises I. Math. Ann. 89, 103–121 (1923).
MacGregor, T.H., Majorization by univalent functions. Duke Math. J. 34, 95–102 (1967).
Robertson, M.S., A remark on the odd schlicht functions. Bull. Amer. Math. Soc., Series 2, 42, 366–370 (1936).
Schur, I., Ein Satz über quadratische Formen mit komplexen Koeffizienten. Amer. J. Math. 67, 472–480 (1945).
Author information
Authors and Affiliations
Additional information
Communicated by M. M. Schiffer
This paper is part of the author's Master of Science dissertation at the Technion (Israel Institute of Technology). The work was performed under Professor E. Netanyahu's supervision.
Rights and permissions
About this article
Cite this article
Friedland, S. On a conjecture of Robertson. Arch. Rational Mech. Anal. 37, 255–261 (1970). https://doi.org/10.1007/BF00251606
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00251606