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arXiv · 1109.0609

Coefficient Inequalities for Starlikeness and Convexity

Rosihan M. Ali·Moradi Nargesi Mahnaz·V. Ravichandran
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Abstract

For an analytic function f(z)=z+\sum_{n=2}^\infty a_n z^n satisfying the inequality \sum_{n=2}^\infty n(n-1)|a_n|\leq β, sharp bound on $β$ is determined so that $f$ is either starlike or convex of order $α$. Several other coefficient inequalities related to certain subclasses are also investigated.

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Rosihan M. Ali, Moradi Nargesi Mahnaz, V. Ravichandran. 2011-09-03. Coefficient Inequalities for Starlikeness and Convexity. https://doi.org/10.1080/17476933.2012.693483

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