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General classes of analytic functions defined by convolution with a fixed analytic function are introduced. Convolution properties of these classes which include the classical classes of starlike,… Continue Reading
For an analytic function f(z) = z+ ∑ ∞ n=2 anz n satisfying the inequality ∑ ∞ n=2 n(n− 1)|an| ≤ β, the range of β is determined so that the function f is either starlike or convex of order α.… Continue Reading