The sharp bounds of the second and third Hankel determinants for the class SL^*
Complex Variables
2022-08-23 v1
Abstract
The aim of the present paper is to obtain the sharp bounds of the Hankel determinants H_2(3) and H_3(1) for the well known class SL^* of starlike functions associated with the right lemniscate of Bernoulli. Further for n=3, we find the sharp bound of the Zalcman functional for the class SL^*. In addition, a couple of interesting results of SL^* is appended at the end.
Cite
@article{arxiv.1906.02681,
title = {The sharp bounds of the second and third Hankel determinants for the class SL^*},
author = {Shagun Banga and S. Sivaprasad Kumar},
journal= {arXiv preprint arXiv:1906.02681},
year = {2022}
}
Comments
14 pages