Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-17T23:51:39.201Z Has data issue: false hasContentIssue false
  • English
  • Français

On a subclass of Bazilevic functions

Published online by Cambridge University Press:  17 April 2009

M.M. Elhosh
M.M. Elhosh
Affiliation:
Department of MathematicsUniversity College of Wales, Aberystwyth, Dyfed, Wales, SY23 3BZUnited Kingdom.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Integral mean and coefficient bounds for some Bazilevic functions are determined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 2 , April 1989 , pp. 167 - 170
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]de Branges, L., ‘A proof of the Bieberbach conjecture’, Acta. Math. 154 (1985), 137–152.CrossRefGoogle Scholar
[2]Duren, P.L., Univalend Functions (Springer-Verlag, New York, 1985).Google Scholar
[3]Eenigenburg, P.J., Miller, S.S., Mocanu, P.T. and Reade, M.O., ‘On a subclass of Bazilevic functions’, Proc. Amer. Math. Soc. 45 (1974), 88–92.Google Scholar
[4]Girela, D., ‘Integral means and BMOA—norms of logarithms of univalent functions’, J. London Math. Soc. (2) 33 (1986), 117–132.CrossRefGoogle Scholar
[5]Goodman, A.W., Univalent Functions, 2 (Mariner Pub. Co., Tampa, Florida, 1983).Google Scholar
[6]Keogh, F.R. and Miller, S.S., ‘On the coefficients of Bazilevic functions’, Proc. Amer. Math. Soc. 30 (1971), 492–496.Google Scholar
[7]Leach, R., ‘The coefficients problem for Bazilevic functions’, Houston H. Math. (6) 4 (1980), 543–547.Google Scholar
[8]Leung, Y.J., ‘Integral means of the derivatives of some univalent functions’, Bull. London Math. Soc. 11 (1979), 289–294.CrossRefGoogle Scholar
[9]Robinson, R., ‘On the theory of univalent functions’, Ann. of Math. 37 (1936), 374–408.Google Scholar
[10]Shiel-Small, T., ‘Coefficients and integral means of some classes of analytic functions’, Proc. Amer. Math. Soc. 82 (1983), 275–282.CrossRefGoogle Scholar