ON A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS ASSOCIATED TO AN INTEGRAL OPERATOR INVOLVING HURWITZ-LERCH ZETA FUNCTION

Abstract

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).

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