Hankel and Toeplitz determinant for a subclass of multivalent q-starlike functions of order α

In this paper our aim is to study some valuable problems dealing with newly defined subclass of multivalent q-starlike functions. These problems include the initial coefficient estimates, Toeplitz matrices, Hankel determinant, Fekete-Szego problem, upper bounds of the functional aₚ₊₁-μ aₚ₊₁² for the subclass of multivalent q-starlike functions. As applications we study a q-Bernardi integral operator for a subclass of multivalent q-starlike functions. Furthermore, we also highlight some known consequence of our main results.