Coefficient Estimates of New Families of Analytic Functions Associated with q -Hermite Polynomials.

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 υ 2 , υ 3 , and υ 4 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. [ABSTRACT FROM AUTHOR]