On the logarithmic coefficients of close to convex functions

Thomas, D.

doi:10.1090/proc/12921

On the logarithmic coefficients of close to convex functions
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by D. K. Thomas PDF

Proc. Amer. Math. Soc. 144 (2016), 1681-1687 Request permission

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 $\log \dfrac {f(z)}{z}=2\sum _{n=1}^{\infty } \gamma _{n}z^{n}$ when $n=1, 2,3$.

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