Bounds for the Second Hankel Determinant of Certain Univalent Functions
Complex Variables
2013-03-04 v1
Abstract
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated. The estimates for the Hankel determinant for two other classes are also obtained. In particular, the estimates for the Hankel determinant of strongly starlike, parabolic starlike, lemniscate starlike functions are obtained.
Cite
@article{arxiv.1303.0134,
title = {Bounds for the Second Hankel Determinant of Certain Univalent Functions},
author = {Lee See Keong and V. Ravichandran and Shamani Supramaniam},
journal= {arXiv preprint arXiv:1303.0134},
year = {2013}
}