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OALib Journal期刊
ISSN: 2333-9721
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Distortion Estimate and the Radius of Starlikeness of Janowski Close-to-Star Functions

Keywords: Close-to-star function , the radius of starlikeness , distortion estimate.

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Abstract:

Let F be the class of all analytic functions in the open unit disc D = fzj jzj < 1g of the form f (z) = z + a2z2 + a3z3 + . Letg(z) be an element of F such that g(z) satisfies the condition(zg0(z)g(z)) =1 + A(z)1 + B(z);for all z 2 D, where (z) is analytic in D and satisfying the conditions (0) = 0, j(z)j < 1, and

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