Coefficient estimates for two subclasses of analytic and bi-univalent functions

• Date: 2018
• Main Authors: Lashin, A. Y., Лашин, А. Ю.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1635
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce two new subclasses of the class $\sigma$ of analytic and bi-univalent functions in the open unit disk $U$. Furthermore, we obtain the estimates for the first two Taylor – Maclaurin coefficients $|a_2|$ and $|a_3|$ for the functions from these new subclasses.