Geodesic
Coefficient Estimates for Subclass of $m$-Fold Symmetric Bi-Univalent Functions
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 395 .

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In the present paper, a general subclass ${\mathcal{M}}_{{\Sigma}_m}^{h,p}(\lambda,\gamma)$ of the $m$-Fold symmetric bi-univalent functions is defined. Also, the estimates of the Taylor-Maclaurin coefficients $|a_{m+1}|$, $|a_{2m+1}|$ and Fekete-Szegö problems are obtained for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
Classification : 30C45, 30C50
Keywords: bi-univalent functions, $m$-fold symmetric univalent functions, $m$-fold symmetric bi-univalent functions, coefficient estimates, Fekete-Szegö problem 
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     author = {A. Motamednezhad and S. Salehian and N. Magesh},
     title = {Coefficient {Estimates} for {Subclass} of $m${-Fold} {Symmetric} {Bi-Univalent} {Functions}},
     journal = {Kragujevac Journal of Mathematics},
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A. Motamednezhad; S. Salehian; N. Magesh. Coefficient Estimates for Subclass of $m$-Fold Symmetric Bi-Univalent Functions. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 3, p. 395 . http://geodesic.mathdoc.fr/item/KJM_2022_46_3_a4/