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Information Journal Paper

Title

New Subclass of Close-to-convex Functions Associated with the Vertical Strip Domains

Pages

  199-210

Abstract

 In the present paper, we introduce the class Βθ(α, β) consisting of functions f, analytic in the unit disc ∆, normalized by the condition f(0)=0=f'(0)-1 and satisfying the following two-sided inequality α< Re{f'(z)+(1+eiθ)/2 zf''(z)}1. Integral representation, Differential subordination results, Coefficient estimates and Fekete-Szegö coefficient functional associated with the k-th (k≥1) root transform [f(zk)]1/k for functions in the class Βθ(α, β), are determined.

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