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.