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Initial coefficient estimates for subclasses of bi-univalent functions
The purpose of the present paper is to introduce new subclasses of the function class $\Sigma$ of normalized analytic and bi-univalent functions in the open disk $\mathbb{U}$. We obtain estimates on the first two Taylor-Maclaurin coefficients $|a_{2}|$ and $|a_{3}|$ for functions of these subclasses.