Initial Coefficient estimates for a classes of m-fold symmetric bi-univalent functions involving Mittag-Leffler function
Mathematica Moravica, Tome 24 (2020) no. 2.

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The main object of the present paper is to use Mittag-Leffler function to introduce and study two new classes \[ \mathcal{R}_{\Sigma_{m}}(\gamma,ambda,\eta,ẹlta,au;lpha)\quadext{and}\quad \mathcal{R}_{\Sigma_{m}}^{*}(\gamma,ambda,\eta,ẹlta,au;\beta) \] of $\Sigma_{m}$ consisting of analytic and $m$-fold symmetric bi-univalent functions defined in the open unit disk $U$. Also, we determine the estimates on the initial coefficients $\left| a_{m+1}\right|$ and $\left| a_{2m+1}\right|$ for functions in each of these new classes. Furthermore, we indicate certain special cases for our results.
Mots-clés : Analytic function, m-fold symmetric bi-univalent function, Coefficient bounds, Mittag-Leffler function. 
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     author = {Abbas Kareem Wanas and Huo Tang},
     title = {Initial {Coefficient} estimates for a classes of m-fold symmetric bi-univalent functions involving {Mittag-Leffler} function},
     journal = {Mathematica Moravica},
     pages = {51 - 61},
     publisher = {mathdoc},
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     number = {2},
     year = {2020},
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Abbas Kareem Wanas; Huo Tang. Initial Coefficient estimates for a classes of m-fold symmetric bi-univalent functions involving Mittag-Leffler function. Mathematica Moravica, Tome 24 (2020) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2020_24_2_a3/