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Coefficient Inequalities for Starlikeness and Convexity
Published 3 Sep 2011 in math.CV | (1109.0609v1)
Abstract: For an analytic function f(z)=z+\sum_{n=2}\infty a_n zn satisfying the inequality \sum_{n=2}\infty n(n-1)|a_n|\leq \beta, sharp bound on $\beta$ is determined so that $f$ is either starlike or convex of order $\alpha$. Several other coefficient inequalities related to certain subclasses are also investigated.
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