Authors: FETHİYE MÜGE SAKAR

Abstract: This study offers three different univalent function families of bi-meromorphic and bi-subordinate functions defined on $\Delta=\{z:z\in\mathbb{C}, 1<|z|<\infty\}$. The estimations of the first three coefficients $|b_{0}|$, $|b_{1}|$, $|b_{2}|$ and extra $\left|b_{0}b_{1}+2b_{2}\right|$ are obtained for the functions of these families. We also point out some closely related cases for our results.

Keywords: Univalent function, bi-univalent function, meromorphic function, subordiation

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