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arXiv · 1207.6495

Close-to-convexity and starlikeness of analytic functions

Lee See Keong·V. Ravichandran·Shamani Supramaniam
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Abstract

For functions $f(z)=z^p+a_{n+1}z^{p+1}+...$ defined on the open unit disk, the condition $\Re (f'(z)/z^{p-1})>0$ is sufficient for close-to-convexity of $f$. By making use of this result, several sufficient conditions for close-to-convexity are investigated and relevant connections with previously known results are indicated.

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Lee See Keong, V. Ravichandran, Shamani Supramaniam. 2012-07-27. Close-to-convexity and starlikeness of analytic functions. https://arxiv.org/abs/1207.6495

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