Hankel Determinant and Toeplitz Determinant on the Class of Bazilevic Functions Related to the Bernoulli Lemniscate

In this papers, we investigate the Hankel determinant and Toeplitz determinant for the class Bazilevic? Function B1(a, d) related to the Bernoulli Lemniscate function on the unit disk D = {z : |z| < 1} and obtain the upper bounds of the determinant H-2(1), H-2(2), T-2(1), and investigate H-2(1) using coefficients invers function. We used lemma from Charateodory-Toeplitz and Libera about sharp inequalities for functions with positive real part.