Initial Coefficient Bounds for interesting Subclasses of Meromorphic and and Bi-Univalent Functions

Abstract

In this paper, we investigate an interesting subclass of univalent functions. Also, we introduce a new subclass of meromorphic bi-univalent functions. We obtain the estimates on the initial Taylor-Maclurin Coefficients for functions in the interesting subclass of meromorphically bi-univalent functions defined on $\Delta=\left\{z\in\Bbb C:~ 1<|z|<\infty\right\}$.

Keywords

• univalent functions
• meromorphic functions
• meromorphic bi- univalent functions
• coeffcient estimates
• vertical strip