Determinants of Hankel Matrices [PDF]
Journal of Functional Analysis, 2000 The purpose of this paper is to compute asymptotically Hankel determinants for weights that are supported in a semi-infinite interval.The main idea is to reduce the problem to determinants of other operators whose determinant asymptotics are well known ...
Basor, Estelle L. +2 more
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On the Hankel determinants of close-to-convex univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1980 The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
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The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function [PDF]
Heliyon, 2023 In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves.
Amina Riaz +3 more
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A remark on the Hankel determinant formula for solutions of the Toda equation [PDF]
, 2007 We consider the Hankel determinant formula of the $\tau$ functions of the Toda equation. We present a relationship between the determinant formula and the auxiliary linear problem, which is characterized by a compact formula for the $\tau$ functions in ...
Fadeev L D +18 more
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Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function [PDF]
Fractal and Fractional, 2022 The logarithmic functions have been used in a verity of areas of mathematics and other sciences. As far as we know, no one has used the coefficients of logarithmic functions to determine the bounds for the third Hankel determinant.
Bilal Khan +3 more
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Hankel Determinant Calculus for the Thue-Morse and related sequences
, 2014 The Hankel determinants of certain automatic sequences $f$ are evaluated, based on a calculation modulo a prime number. In most cases, the Hankel determinants of automatic sequences do not have any closed-form expressions; the traditional methods, such ...
Han, Guo-Niu
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Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions [PDF]
HeliyonDetermining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant ...
Muhammad Abbas +3 more
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Coefficient Bounds for Some Families of Starlike and Convex Functions of Reciprocal Order [PDF]
The Scientific World Journal, 2014 The aim of the present paper is to investigate coefficient estimates, Fekete-Szegő inequality, and upper bound of third Hankel determinant for some families of starlike and convex functions of reciprocal order.
Muhammad Arif +3 more
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Open Mathematics, 2019 In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Arif Muhammad +4 more
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Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning [PDF]
Mathematica Bohemica, 2022 We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning.
Milutin Obradović +2 more
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