- Hacettepe Journal of Mathematics and Statistics
- Vol: 39 Issue: 2
- A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function
A Subclass of Analytic Functions Associated with the Hurwitz-Lerch Zeta Function
Authors : Gangadharan Murugusundaramoorthy
Pages : 265-272
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Publication Date : 2010-02-01
Article Type : Research
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