Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials zero-truncated Poisson distribution. For in aforementioned class, find upper estimates second third Taylor–Maclaurin coefficients, then solve Fekete–Szegö functional problem. Moreover, by setting values parameters included our main results, obtain several links some earlier known findings.