On the Logarithmic Coefficients of Close to Convex Functions

Abstract

For $f$ analytic and close to convex in $D=\{z:|z|<1\}$, we give sharp estimates for the logarithmic coefficients ${\gamma }_n$ of $f$ defined by $\log \frac{f(z)}{z}=2{\sum }_{n=1}^{\infty }{\gamma }_n{z}^n$ when $n=1,2,3$.

Proceedings American Mathematical Society September 2015

Cited by in corpus (1)

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