Article
KYUNGPOOK Math. J. 2019; 59(3): 481-491
Published online September 23, 2019
Copyright © Kyungpook Mathematical Journal.
Some Coefficient Inequalities Related to the Hankel Determinant for a Certain Class of Close-to-convex Functions
Yong Sun∗, Zhi-Gang Wang
School of Science, Hunan Institute of Engineering, Xiangtan, 411104, Hunan, People’s Republic of China
e-mail : yongsun2008@foxmail.com
Mathematics and Computing Science, Hunan First Normal University, Changsha, 410205, Hunan, People’s Republic of China
e-mail : wangmath@163.com
Received: November 14, 2017; Revised: February 1, 2019; Accepted: March 4, 2019
In the present paper, we investigate the upper bounds on third order Hankel determinants for certain class of close-to-convex functions in the unit disk. Furthermore, we obtain estimates of the Zalcman coefficient functional for this class.
Keywords: coefficient inequality, Hankel determinant, Zalcman’s conjecture, close-to-convex functions.