Abstract
In this work, we introduce and investigate a class of analytic functions which is a subclass of close-to-convex functions of Janowski type and related to conic regions. Length of the image curve |z| = r < 1 under the generalized Janowski close-to-convex function is derived. Furthermore, rate of growth of coefficients and Hankel determinant for this class are obtained. Relevant connections of our results with the earlier known results are also pointed out.
Highlights
Let E = {z : | z | < 1} and H be the class of functions f (z) defined as ∞f (z) = z + anzn n=2 (1.1)which are analytic in E
We introduce and investigate a class of analytic functions which is a subclass of close-to-convex functions of Janowski type and related to conic regions
(iv) for k = 0, m1 = 2 = m2, H22(A, B, C, D) ≡ k − U K(A, B, C, D)) is the class of analytic functions examined by Mahmood et al [5]
Summary
Rate of growth of coefficients and Hankel determinant for this class are obtained. Let E = {z : | z | < 1} and H be the class of functions f (z) defined as Let Pm(α) be the class of analytic functions p(z) in E satisfying the condition p(0) = 1 and We have the following class of analytic functions in
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