Results 81 to 90 of about 8,276 (242)

Hankel determinant solution for elliptic sequence

open access: yesLinear Algebra and its Applications, 2015
We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbitrary point on the elliptic curve are expressed by the Hankel determinants.
openaire   +2 more sources

Delayformer: Spatiotemporal Transformation for Predicting High‐Dimensional Dynamics

open access: yesAdvanced Science, Volume 13, Issue 3, 14 January 2026.
Delayformer introduces a multivariate spatiotemporal transformation (mvSTI) that converts observed variables into delay‐embedded states and cross‐learns their dynamics using a shared Vision Transformer encoder. This approach, grounded in dynamical systems theory, simultaneously predicts all variables in high‐dimensional systems, outperforming state‐of ...
Zijian Wang, Peng Tao, Luonan Chen
wiley   +1 more source

On logarithmic coefficients for starlike functions related to nephroid domain

open access: yesAIMS Mathematics
Logarithmic functions are widely used in mathematics and other fields for various applications. As far as we know, no one has used the bounds for the third Hankel determinant using the coefficients of logarithmic functions.
Wahid Ullah   +3 more
doaj   +1 more source

The Hilbert series of N=1 SO(N_c) and Sp(N_c) SQCD, Painlev\'e VI and Integrable Systems

open access: yes, 2011
We present a novel approach for computing the Hilbert series of 4d N=1 supersymmetric QCD with SO(N_c) and Sp(N_c) gauge groups. It is shown that such Hilbert series can be recast in terms of determinants of Hankel matrices.
Basor, Estelle   +2 more
core   +1 more source

Accelerated water residual removal in MRS: Exploring deep learning versus fitting‐based approaches

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 1, Page 38-50, January 2026.
Abstract PurposeRemoving water residual signals from MRS spectra is crucial for accurate metabolite quantification. However, currently available algorithms are computationally intensive and time‐consuming, limiting their clinical applicability. This work aims to propose and validate two novel pipelines for fast water residual removal in MRS. MethodsTwo
Federico Turco   +2 more
wiley   +1 more source

Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

open access: yesJournal of Inequalities and Applications
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel
Pishtiwan Othman Sabir   +5 more
doaj   +1 more source

Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes [PDF]

open access: yes, 2013
We show that the ratio of a discrete Toeplitz/Hankel determinant and its continuous counterpart equals a Freholm determinant involving continuous orthogonal polynomials.
Baik, Jinho, Liu, Zhipeng
core  

Hankel Determinants of q-Stirling Numbers

open access: yesThe Electronic Journal of Combinatorics
In this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that
Cai, Yue, Yang, Ting
openaire   +2 more sources

Gradient Scheme Optimization for PRESS‐Localized Edited MRS Using Weighted Pathway Suppression

open access: yesNMR in Biomedicine, Volume 39, Issue 1, January 2026.
This study presents an optimized DOTCOPS‐based gradient scheme for PRESS‐localized edited MRS that integrates a volume‐based likelihood model to prioritize suppression of unwanted coherence transfer pathways. Using a dual‐penalty genetic algorithm, the scheme achieved a 197% increase in k‐space crushing efficiency and significantly reduced out‐of‐voxel
Gizeaddis L. Simegn   +11 more
wiley   +1 more source

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