A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function

Abstract

Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(λ, α, β) defined in the open unit disc, and investigate its various characteristics. Further we obtained distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PT(λ, α, β).