Coefficient Estimates for Initial Taylor-Maclaurin Coefficients for a New Family of Bi-univalent and Analytic Functions Defined Using the Integral Operator

In this research, a new subclass of analytic and bi-univalent function is defined on the open unit disc \(U\) = {z \(∈\) \(C\) : |z| < 1} using the integral operator and then the initial coefficient bounds for |a2| and |a3| are derived. Later on, the many interesting results are discussed which are obtained as the special cases of our main result.