International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 779-783

On a subclass of Bazilevič functions

D. K. Thomas

Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 8PP, Wales, UK

Received 24 September 1985

Copyright © 1985 D. K. Thomas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).