Third Hankel determinant for a subclass of close-to-star functions associated with exponential function

Gagandeep Singh, Gurcharanjit Singh

In the present paper, we consider a subclass of close-to-star functions associated to exponential function, in the open unit disc E = {z ∊ C: |z| < 1}. Here the main purpose is to establish the upper bound for the third Hankel determinant for this class. Also, we investigate the same bounds for two-fold and three-fold symmetric functions. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 15(4) (2022), pp. 145-154