International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 36, Pages 1937-1942

Coefficient estimates for Ruscheweyh derivatives

Maslina Darus and Ajab Akbarally

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor Darul Ehsan 43600, Malaysia

Received 5 September 2003

Copyright © 2004 Maslina Darus and Ajab Akbarally. 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.


We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+n=2anzn. For functions fR¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3μa22|.