On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution

On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution

Year:    2018

Author:    Dong Guo, Zongtao Li

Communications in Mathematical Research , Vol. 34 (2018), Iss. 1 : pp. 65–76

Abstract

In this paper, we introduce several new subclasses of the function class $\it\Sigma$ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we investigate the bounds of the coefficients $|a_2|$ and $|a_3|$ for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2018.01.07

Communications in Mathematical Research , Vol. 34 (2018), Iss. 1 : pp. 65–76

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    analytic and univalent functions coefficient bi-univalent function Hadamard product convolution

Author Details

Dong Guo

Zongtao Li