Results 91 to 100 of about 653 (205)
Hankel-type determinants for some combinatorial sequences [PDF]
In this paper, we confirm several conjectures of Sun on Hankel-type determinants for some combinatorial sequences including Franel numbers, Domb numbers and Apéry numbers.
Bao-Xuan Zhu, Zhi-Wei Sun
core +1 more source
Symbolic computation of Hankel determinants and matrix generalized inverses [PDF]
In this thesis, existing methods for symbolic computation of Hankel deteriminants and matrix generalized inverses are modified and new are introducted.
Petković, Marko D.
core +2 more sources
In this paper, we introduce and study the Tricomi continuants, a family of tridiagonal determinants forming a Sheffer sequence closely related to the Tricomi polynomials and the Laguerre polynomials.
Emanuele Munarini
doaj +1 more source
Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz +9 more
wiley +1 more source
An note on the maximization of matrix valued Hankel determinants with application [PDF]
In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
core
Transfinite diameter on curves, Hankel determinants and the moment problem [PDF]
We discuss problems on Hankel determinants and the classical moment related to and inspired by certain Vandermonde determinants for polynomial interpolation on algebraic curves in C ...
BOS, LEONARD PETER +1 more
core
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Rational Approximation to the Solutions of Two-Point Boundary Value Problems
We propose a method for the treatment of two-point boundary value problems given by nonlinear ordinary differential equations. The approach leads to sequences of roots of Hankel determinants that converge rapidly towards the unknown parameter of the ...
P. Amore, F. M. Fernández
doaj
An upper bound to the second Hankel determinant for pre-starlike functions of order α
The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
doaj
On the Hankel determinants of close-to-convex univalent functions
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
doaj +1 more source

