This is a preview of subscription content, log in via an institution to check access.
References
Bombieri, Enrico, On the local maximum property of the Koebe function. Inventiones Math. 4, 26–67 (1967).
Garabedian, P.R., & M. Schiffer, The local maximum theorem for the coefficients of univalent functions. Arch. Rational Mech. Anal. 26, 1–32 (1967).
Hayman, W.K., Multivalent Functions. Cambridge Tracts No. 48. Cambridge: University Press 1958.
Hayman, W.K., Research Problems in Function Theory. London: The Athlone Press of the University of London 1967.
Hummel, J.A., The coefficient regions of starlike functions. Pacific J. Math. 7, 1381–1389 (1957).
Hummel, J.A., The coefficients of starlike functions. Proc. Amer. Math. Soc. 22, 311–315 (1969).
Montaldo, Oscar, Sul comportamento delle funzioni univalenti nell'intorno della funzione di Koebe. Boll. Un. Mat. Ital. (3) 21, 127–143 (1966).
Author information
Authors and Affiliations
Additional information
Communicated by M. Schiffer
This work was supported in part by grant number GP 6891 from the National Science Foundation to the University of Maryland.
Rights and permissions
About this article
Cite this article
Hummel, J.A. Bounds for the coefficient body of univalent functions. Arch. Rational Mech. Anal. 36, 128–134 (1970). https://doi.org/10.1007/BF00250813
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00250813