Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator


H M Srivastava, Şahsene Altınkaya, Sibel Yalçın




In this paper, we discuss the various properties of a newly-constructed subclass of the class of normalized bi-univalent functions in the open unit disk, which is defined here by using a symmetric basic (or q-) derivative operator. Moreover, for functions belonging to this new basic (or q-) class of normalized bi- univalent functions, we investigate the estimates and inequalities involving the second Hankel determinant