The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.
Abstract. The objective of this paper is to obtain the best possible sharp upper bound for the second Hankel functional associated with the k th root transform f (z k ) 1/k of normalized analytic function f (z) when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane using Toeplitz determinants.
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.
In this paper, we obtain sharp upper bound to the second Hankel determinant for the functions belong to the class of pseudo starlike functions, an interesting sub class of univalent functions de…ned in the open unit disc E = fz : jzj < 1g; using Toeplitz determinants.
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