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On the Hankel matrices of finite rank and generalized Fibonacci sequences
In this paper, we propose an approach that utilizes the generalized Fibonacci sequence as a tool for studying the infinite Hankel matrix of finite...
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Hankel Like Catalecticants
The meaning of catalecticant here does not refer to the classical (generic) catalecticant from invariant theory, a notion that only retrieves the...
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Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices
AbstractThe Hankel matrices considered in this article arose in one reformulation of the Riemann hypothesis proposed earlier by the author. Computer...
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On linear algebra of r-Hankel and r-Toeplitz matrices with geometric sequence
Matrix theory plays a crucial role in solving practical problems and performing computational operations. In particular, specific types of matrices...
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Absence of Solutions of the σ-Commutation Problem (σ ≠ 0,±1) for a Toeplitz and a Hankel Matrices in a Special Case
It is established that the σ-commutation problem for a Toeplitz and a Hankel matrices has no solutions in a particular case.
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Linear Sections of the Generic Square Hankel Matrix
Hankel matrices (or their Toeplitz versions) have a classic history in Analysis and Functional Operator Theory. One of the best-known problems, which...
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Multiplicative Properties of Infinite Block Toeplitz and Hankel Matrices
We give a simple characterization of when the product of two infinite block Toeplitz matrices is another infinite block Toeplitz matrix. We then use...
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Fast algorithms for perturbed Toeplitz-plus-Hankel system based on discrete cosine transform and their applications
A class of perturbed Toeplitz-plus-Hankel matrices are studied in this paper. Firstly, we present two fast algorithms for computing the eigenvalues...
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Characterizations of matrix-valued asymmetric truncated Hankel operators
In this paper, we introduce the class of matrix-valued asymmetric truncated Hankel operators. By using characterizations of matrix-valued asymmetric...
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μ-Hankel operators on compact Abelian groups
( μ ; ν )-Hankel operators between separable Hilbert spaces were introduced and studied recently (A. Mirotin and E. Kuzmenkova, μ -Hankel operators on...
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On Normal \( \mu \)-Hankel Operators
Hankel operators have numerous realizations and form one of the most important classes of operators in the spaces of analytic functions. These...
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Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions
Our main purpose in this paper is to obtain certain sharp estimates of the third Hankel determinant for the class ℱ of Ozaki close-to-convex...
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Linear canonical deformed Hankel transform and the associated uncertainty principles
The linear canonical deformed Hankel transform is a novel addition to the class of linear canonical transforms, which has gained a respectable status...
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An Accelerated Proximal Gradient Algorithm for Hankel Tensor Completion
In this paper, an accelerated proximal gradient algorithm is proposed for Hankel tensor completion problems. In our method, the iterative completion...
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On Diagonalizable Quantum Weighted Hankel Matrices
A semi-infinite weighted Hawith the continuous q-Laguerre polynomials, is diagonalized. As an application, several new integral formulas for selected...