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

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Hacettepe Journal of Mathematics and Statistics
Volume: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

View : 54 | Download : 9

Publication Date : 2010-02-01

Article Type : Research Paper

Abstract :Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PTinsert ignore into journalissuearticles values(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 PTinsert ignore into journalissuearticles values(λ, α, β);.
Keywords : Analytic, Univalent, Starlikeness, Convexity, Hadamard product convolution, 2000 AMS Classification 30C45

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