New subclasses of bi-univalent functions defined with q-derivative operator

Gagandeep Singh, Gurcharanjit Singh

In the present paper, we use the q-derivative operator to introduce two new and unified subclasses of bi-univalent functions in the open unit disc E = {z: |z|<1}. We obtain the bounds for the initial coefficients and Fekete-Szego inequality for these classes. Some earlier known results follow as special cases. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(2) (2025), pp. 295-305