Coefficient estimates of new families of analytic functions associated with q-Hermite polynomials

Abstract

In this paper, we introduce two new subclasses of bi-univalent functions using the q- Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients u2, u3, and u4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.