Comprehensive Subclasses of Bi-univalent Functions Specified by Liouville?Caputo-Type Fractional Derivatives and Euler Polynomials

In this paper, we introduce two new inclusive subclasses, F? (?,?,?) and L? (?,?), of analytic functions defined via Euler polynomials and Liouville?Caputo-type fractional derivatives. We derive estimates for the initial Maclaurin coefficients |b2| and |b3| for functions belonging to these subclasses. Furthermore, by specializing the parameters involved in our major results, several known and new consequences are obtained as corollaries