Third Hankel Determinant for the Inverse of Starlike and Convex Functions

Third Hankel Determinant for the Inverse of Starlike and Convex Functions

Year:    2019

Author:    Dong Guo, En Ao, Huo Tang, Liangpeng Xiong

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 354–358

Abstract

Denote $\cal S$ to be the class of functions which are analytic, normalized and univalent in the open unit disk $\mathbb U=\{z\colon |z|<1\}$. The important subclasses of $\cal S$ are the class of starlike and convex functions, which we denote by $\cal S^*$ and $\cal C$. In this paper, we obtain the third Hankel determinant for the inverse of functions $f(z)=z+\sum\limits_{n=2}^{\infty}a_nz^n$ belonging to $\cal S^*$ and $\cal C$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2019.04.07

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 354–358

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    analytic function third Hankel determinant inverse of starlike function inverse of convex function.

Author Details

Dong Guo

En Ao

Huo Tang

Liangpeng Xiong