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

Year 2010, Volume: 39 Issue: 2, 265 - 272, 01.02.2010

Gangadharan Murugusundaramoorthy

Abstract

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).

Keywords

Analytic, Univalent, Starlikeness, Convexity, Hadamard product (convolution), 2000 AMS Classification: 30C45

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