Abstract
This paper deals with coefficient estimates for close-to-convex functions with argument $\beta$ ($-\pi/2<\beta<\pi/2$). By using Herglotz representation formula, sharp bounds of coefficients are obtained. In particular, we solve the problem posed by A. W. Goodman and E. B. Saff in [2]$. Finally some complicate computations yield the explicit estimate of the third coefficient.
Citation
Limei Wang. "Coefficient estimates for close-to-convex functions with argument $\beta$." Bull. Belg. Math. Soc. Simon Stevin 18 (2) 231 - 237, may 2011. https://doi.org/10.36045/bbms/1307452073
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