Starlike, convex and close-to convex functions of complex order
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摘要
The main purpose of this paper is to introduce two classes Pβ(λ,b) and Rβ(λ,b) (b, a complex number with Re(b)>0) of functions which are analytic in the unit disc. Coefficient estimates for functions in these classes and radii of close-to convexity, starlikeness and convexity are obtained. Further applications in the fractional calculus are given for functions in Pβ(λ,b) and Rβ(λ,b).
论文关键词：Starlike function,Convex function,Close-to convex function,Complex order,Fractional calculus,Analytic function,Radii of starlikeness,Convexity and close-to convexity
论文评审过程：Available online 27 November 2001.
论文官网地址：https://doi.org/10.1016/S0096-3003(01)00326-5
