Mathematics – Complex Variables
Scientific paper
2011-09-03
Mathematics
Complex Variables
Scientific paper
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 \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.
Ali Rosihan M.
Mahnaz Moradi Nargesi
Ravichandran V.
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