Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-01-13T09:23:49.587Z Has data issue: false hasContentIssue false
  • English
  • Français

On successive coefficients of univalent functions

Published online by Cambridge University Press:  14 November 2011

Dawei Shen
Dawei Shen
Affiliation:
Department of Mathematics, Beijing Institute of Technology, P.O. Box 327, Beijing 100081, China
Get access Rights & Permissions [Opens in a new window]

Synopsis

A coefficient difference bound for a class of univalent functions in the unit disk whose radial growth is large enough is established in this paper.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 1-2 , 1992 , pp. 153 - 164
Copyright
Copyright © Royal Society of Edinburgh 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Duren, P. L.. Univalent Functions (New York: Springer, 1983).Google Scholar
2Anderson, J. M., Barth, K. F. and Brannan, D. A.. Research problems in complex analysis. Bull. London Math. Soc. 9 (1977), 129–162.CrossRefGoogle Scholar
3Lucas, K. W.. On successive coefficients of areally mean p-valent functions. J. London Math. Soc. 44 (1969), 631–642.CrossRefGoogle Scholar
4Elhosh, M. M.. On successive coefficients of close-to-convex functions. Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), 47–49.CrossRefGoogle Scholar
5Hayman, W. K.. Multivalent Functions (Cambridge: Cambridge University Press, 1958).Google Scholar
6Pommerenke, Ch.. Univalent Functions (Göttingen: Vandenhoeck & Ruprecht, 1975).Google Scholar
7Hayman, W. K.. On successive coefficients of univalent functions. J. London Math. Soc. 38 (1963), 228–243.CrossRefGoogle Scholar
8Baernstein, A.. Coefficients of univalent functions with restricted maximum modulus. Complex Variables Theory Appl. 5 (1986), 225–236.Google Scholar