On Coefficient Inequalities of Certain Subclasses of Bi-Univalent Functions Defined Using q-Differential Operator Involving q-Poisson Distribution

In this research paper, a new subclass of bi-univalent and analytic functions on unit disc \(\Delta\) = {z \(\in\) \(\mathbb{C}\) : |z| < 1} is defined. The zero-truncated Poisson distribution function and q-differential operator are used to define this subclass. Furthermore, we also establish the upper bounds on the second and third coefficients of functions in the same class.