Certain New Subclass of Multivalent Q-Starlike Functions Associated with Q-Symmetric Calculus

In our present investigation, we extend the idea of q-symmetric derivative operators to multivalent functions and then define a new subclass of multivalent q-starlike functions. For this newly defined function class, we discuss some useful properties of multivalent functions, such as the Hankel determinant, symmetric Toeplitz matrices, the Fekete-Szego problem, and upper bounds of the functional vertical bar a(p+1)-mu a(p+1)(2)vertical bar and investigate some new lemmas for our main results. In addition, we consider the q-Bernardi integral operator along with q-symmetric calculus and discuss some applications of our main results.