Coefficient bounds for new subclasses of analytic and m-fold symmetric bi-univalent functions

Abbas Kareem Wanas, Agnes Orsolya Pall Szabo


In the present paper, we introduce and study two new subclasses of analytic and $m$-fold symmetric bi-univalent functions defined in the open unit disk $U$. Furthermore, for functions in each of the subclasses introduced here, we obtain upper bounds for the initial coefficients $\left| a_{m+1}\right|$ and $\left| a_{2m+1}\right|$. Also, we indicate certain special cases for our results.

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