Third Hankel determinant for q -analogue of symmetric starlike connected to q -exponential function

Abstract

By making use of the concept of basic (or q -) calculus, a subclass of q -starlike functions with reference to symmetric points, which is associated with the q -exponential function, is introduced in the open unit disc. Further, we derived upper bounds for the third-order Hankel determinant for the defined class. For the validity of our results, relevant connections with those in earlier works are also pointed out