International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 4, Pages 795-805
Applications of Ruscheweyh derivatives and Hadamard product to analytic functions
Department of Mathematics, University of Bahrain, P. O. Box 32038, Isa Town, Bahrain
Received 31 August 1995; Revised 10 February 1998
Copyright © 1999 M. L. Mogra. 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.
For given analytic functions in with and , let be the class of analytic functions in such that and where is the th Ruscheweyh derivative; and denote subordination and the Hadamard product, respectively. Let be the class of analytic functions in of the form , and let . Coefficient estimates, extreme points, distortion theorems and radius of starlikeness and convexity are determined for functions in the class . We also consider the quasi-Hadamard product of functions in and .