%0 Journal Article %T Subclasses of analytic and bi-univalent functions involving a generalized Mittag-Leffler function based on quasi-subordination %A Long, P. %A Murugusundaramoorthy, G. %A Tang, H. %A Wang, W. %J Journal of Mathematics and Computer Science %D 2022 %V 26 %N 4 %@ ISSN 2008-949X %F Long2022 %X Two quasi-subordination subclasses \(\mathcal{Q}\Sigma^{\gamma,k}_{ \alpha,\beta}(\vartheta,\rho;\phi)\) and \(\mathcal{M}\Sigma^{\gamma,k}_{ \alpha,\beta}(\tau,\vartheta,\rho;\phi)\) of the class \(\Sigma\) of analytic and bi-univalent functions associated with the convolution operator involving Mittag-Leffler function are introduced and investigated. Then, the corresponding bound estimates of the coefficients \(a_2\) and \(a_3\) are provided. Meanwhile, Fekete-Szegö functional inequalities for these classes are proved. Besides, some consequences and connections to all the theorems would be interpreted, which generalize and improve earlier known results. %9 journal article %R 10.22436/jmcs.026.04.06 %U http://dx.doi.org/10.22436/jmcs.026.04.06 %P 379--394