ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS ASSOCIATED TO AN INTEGRAL OPERATOR INVOLVING HURWITZ-LERCH ZETA FUNCTION
N. M. MUSTAFA 1, M. DARUS 2 1. Universiti Kebangsaan Malaysia, Department: School of Mathematical Sciences, Faculty of Science and Technology, Bangi 43600 Selangor D. Ehsan, MALAYSIA, e-mail: nmmaâ1975@yahoo.com
2. Universiti Kebangsaan Malaysia, Department: School of Mathematical Sciences, Faculty of Science and Technology, Bangi 43600 Selangor D. Ehsan, MALAYSIA, e-mail:maslina@ukm.my
Making use of an integral operator involving the Hurwitz-Lerch zeta function, we introduce a new subclass of analytic functions Q^{*\alpha}_{s,b}(\delta,\beta) defined in the open unit disk and investigate its various characteristics. Further we obtain distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class Q^{*\alpha}_{s,b}(\delta,\beta).
