International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 33-36, Pages 1937-1942
doi:10.1155/S0161171204309051
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
Abstract
We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3−μa22|.