Title of article :
A SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE HURWITZ-LERCH ZETA FUNCTION
Author/Authors :
Murugusundaramoorthy, Gangadharan VIT University - School of Advanced Sciences, India
Abstract :
Making use of a convolution operator involving the Hurwitz-Lerch Zeta function, we introduce a new class of analytic functions PT(γ, 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(γ, α, β).
Keywords :
Analytic , Univalent , Starlikeness , Convexity , Hadamard product (convolution)
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics