Coefficient estimates for new subclasses of analytic and bi-univalent functions defined by Al-Oboudi differential operator (Q2443688)

Summary: We introduce and investigate two new subclasses \(\mathcal N_\Sigma^{\delta, \mu}\) and \(\mathcal N_\Sigma^{\delta, \mu}(n, \beta, \lambda)\) of analytic and bi-univalent functions in the open unit disk \(\mathbb U\). For functions belonging to these classes, we obtain estimates on the first two Taylor-Maclaurin coefficients \(|a_2|\) and \(|a_3|\).