THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS

For some subclasses of Starlike and Convex functions associated with Gregory coefficient, the sharp upper bounds for the second Hankel determinant and the third-order Hankel determinant and Hankel determinant $ \mathcal H_{2,1}(G_g/2) $ and $ \mathcal H_{2,2}(G_g/2) $ with a logarithmic coeffcient are computed.