THE SHARP BOUNDS OF THE HANKEL DETERMINANTS FOR THE CLASS OF CONVEX FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS.

In this paper, we estimate sharp bounds for certain Hankel determinants, H_2,3(f), H_3,1(f) and Zalcman functional |a²₃ -- a₅| for the class of convex function with respect to symmetric points, hence proving the recent conjecture made by Virendra et al., that affirms the sharp bound for the third Hankel determinant in the classes of convex functions with respect to symmetric points is 4/135. [ABSTRACT FROM AUTHOR]