International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 381-388

Extreme points and convolution properties of some classes of multivalent functions

O. P. Ahuja

Division of Mathematics, National Institute of Education, Nanyang Technological University, 469 Bukit Timah Road, Singapore 259756, Singapore

Received 5 April 1988; Revised 26 June 1991

Copyright © 1996 O. P. Ahuja. 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.


This paper deals with the extreme points of closed convex hulls of the classes of multivalent functions related to Ruscheweyh derivatives and then these are used to determine the coefficient bounds. Finally, we investigate convolution conditions and other properties of the functions in these classes.