IJPAM: Volume 71, No. 4 (2011)
CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS
School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
Bangi, 43600, Selangor, D. Ehsan, MALAYSIA
Abstract. In this present investigation, the authors obtain Fekete-Szegö inequality for certain normalized analytic function defined on the open unit disk for which , lies in a region starlike with respect to and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (convolutionn)are given. As a special case of the result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives is obtained. the motivation of this paper is to give a generalization of the Fekete-Szegö inequalities obtained by Srivasatava and Mishra by making use of the generalized Ruscheweyh derivatives operator introduced by authors [#!Eljamal_and_Darus!#].
Received: April 7, 2011
AMS Subject Classification: 30C45
Key Words and Phrases: analytic function, starlike functions, subordination, Fekete-Szegö inequality, derivative operator
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395