On the logarithmic coefficients of close to convex functions
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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 $n=1, 2,3$.References
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Additional Information
- D. K. Thomas
- Affiliation: Department of Mathematics, Swansea University, Singleton Park, Swansea, SA2 8PP, United Kingdom
- MR Author ID: 172170
- Email: d.k.thomas@swansea.ac.uk
- Received by editor(s): January 15, 2015
- Received by editor(s) in revised form: February 22, 2015, February 25, 2015, and May 14, 2015
- Published electronically: September 24, 2015
- Communicated by: Jeremy Tyson
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1681-1687
- MSC (2010): Primary 30C45; Secondary 30C50
- DOI: https://doi.org/10.1090/proc/12921
- MathSciNet review: 4166745