Let \mathcal{A} be the class of analytic functions in the unit disc {\mathbb U} which are of the form f(z)=z+\sum_{n=2}^{\infty}a_nz^n. For 0\leq\alpha< 1, let {\mathcal C}_\alpha, be the class of all functions f \in \mathcal{A} satisfying the condition \rm{Re}\{f'(z)+\alpha zf''(z)\}>0. We consider the Toeplitz matrices whose elements are the coefficients a_n of the function f in the class {\mathcal C}_\alpha. In this paper we obtain upper bounds for the Toeplitz determinants.


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 Jha, Anand Kumar, Sahoo, Pravati