Third Hankel determinant for starlike and convex functions with respect to symmetric points

The objective of this paper is to obtain best possible upper bound to the $H_{3}(1)$  Hankel determinant for starlike and convex functions with respect to symmetric points, using Toeplitz determinants

Coefficient inequality for transforms of certain subclass of analytic functions

The objective of this paper is to obtain the best possible sharp upper bound for the second Hankel functional associated with the kth root transform [f(zk)]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

Hankel Determinant of Certain Orders for Some Subclasses of Holomorphic Functions

In this paper, we are introducing certain subfamilies of holomorphic functions and making an attempt to obtain an upper bound (UB) to the second and third order Hankel determinants by applying certain lemmas, Toeplitz determinants, for the normalized analytic functions belong to these classes, defined on the open unit disc in the complex plane. For one of the inequality, we have obtained sharp bound

The sharp bound of the third Hankel determinant of the kth-root transformation for bounded turning functions

The objective of this paper is to estimate the sharp bound of the third Hankel determinant for the kth-root transformation to the class of functions whose derivative has a positive real part satisfying the normalized conditions f(0) = 0 and f′(0) = 1 in the open unit disk D := {z ∈ C : |z| < 1}

On H3(1) Hankel determinant for certain subclass of analytic functions

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.peerReviewe