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The objective of this paper is to obtain best possible upper bound to the third Hankel determinant for the pre-starlike functions of order α (0 ≤ α < 1), using Toeplitz determinants.

Bound on H3(1) Hankel determinant for pre-starlike functions of order &#945;

Bound on H3(1) Hankel determinant for pre-starlike functions of order α