%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-SzegĂ¶ 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