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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 192956, 14 pages
doi:10.1155/2012/192956
Fekete-Szegö Problems for Quasi-Subordination Classes
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Malaysia
Received 7 August 2012; Accepted 15 September 2012
Academic Editor: Juan J. Trujillo
Copyright © 2012 Maisarah Haji Mohd and Maslina Darus. 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.
Abstract
An analytic function is quasi-subordinate to an analytic function , in the open unit disk if there exist analytic functions and , with , and such that . Certain subclasses of analytic univalent functions associated with quasi-subordination are defined and the bounds for the Fekete-Szegö coefficient functional for functions belonging to these subclasses are derived.