International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 577-581
doi:10.1155/S0161171200005111
On the Fekete-Szegö problem
B.A. Frasin
and Maslina Darus
School of Mathematical Sciences, Faculty of Sciences and Technology, University Kebangsaan Malaysia, Bangi, Selangor 43600, Malaysia
Abstract
Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.