Coefficient estimates for close-to-convex functions with argument $\beta$

Li-Mei Wang

Coefficient estimates for close-to-convex functions with argument $\beta$

Complex Variables 2014-02-03 v2

Authors: Li-Mei Wang

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 particluar, we solve the problem posed by A. W. Goodman and E. B. Saff in $\cite{GS}$ . Finally some complicted computations yield the explicit estimate of the third coefficient.

Keywords

convex analysis random matrix ensembles zeta functions

Cite

@article{arxiv.1010.5609,
  title  = {Coefficient estimates for close-to-convex functions with argument $\beta$},
  author = {Li-Mei Wang},
  journal= {arXiv preprint arXiv:1010.5609},
  year   = {2014}
}

Comments

This paper has been withdrawn by the author. There is no good reason to keep it since the author found a crucial sign error in equation 1

Related papers

View all related →