Volume 34, Issue 1
On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution

Commun. Math. Res., 34 (2018), pp. 65-76.

Published online: 2019-12

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• 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.

• Keywords

analytic and univalent functions, coefficient, bi-univalent function, Hadamard product, convolution

30C45, 30C50, 30C80

gd791217@163.com (Dong Guo)

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@Article{CMR-34-65, author = {Guo , Dong and Li , Zongtao}, title = {On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {1}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.01.07}, url = {http://global-sci.org/intro/article_detail/cmr/13505.html} }
TY - JOUR T1 - On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution AU - Guo , Dong AU - Li , Zongtao JO - Communications in Mathematical Research VL - 1 SP - 65 EP - 76 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.01.07 UR - https://global-sci.org/intro/article_detail/cmr/13505.html KW - analytic and univalent functions, coefficient, bi-univalent function, Hadamard product, convolution AB -

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.

Dong Guo & Zong-tao Li. (2019). On the Coefficients of Several Classes of Bi-Univalent Functions Defined by Convolution. Communications in Mathematical Research . 34 (1). 65-76. doi:10.13447/j.1674-5647.2018.01.07
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