In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined
using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we
obtain the bounds of the certain functional of coefficients for functions in the class H
q
Σðλ, βÞ, for real and complex parameters.
Also, an estimation for the initial Taylor and Maclaurin coefficients of functions in H
q
Σðλ, αÞ was given.