Results 41 to 50 of about 40,909 (200)

Orthogonal Polynomials from Hermitian Matrices II [PDF]

open access: yes, 2018
This is the second part of the project `unified theory of classical orthogonal polynomials of a discrete variable derived from the eigenvalue problems of hermitian matrices.' In a previous paper, orthogonal polynomials having Jackson integral measures ...
Odake, Satoru, Sasaki, Ryu
core   +2 more sources

Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator

open access: yesEnergy Science &Engineering, EarlyView.
ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen   +4 more
wiley   +1 more source

Analysis of a Modified Version of the Inventory of Non‐Ataxia Signs Over 12 Years in Patients with Friedreich's Ataxia in the EFACTS Study

open access: yesMovement Disorders, EarlyView.
Abstract Background Friedreich's ataxia is a rare, neurodegenerative, multisystem disorder. While ataxia is a hallmark, non‐ataxia signs, including muscle weakness, spasticity, and dysphagia are equally disabling. The Inventory of Non‐Ataxia Signs (INAS) is a symptom list transformable to a 16‐item count.
Stella Andrea Lischewski   +23 more
wiley   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

open access: yesAdvanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams   +4 more
wiley   +1 more source

Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain

open access: yesImage Analysis and Stereology
In this paper, we present recurrence relations for the Jacobi weighted orthogonal polynomials Pn,r(α,β,γ) (u, v, w) with r = 0, 1, . . . , n, where n ≥ 0, defined on the triangular domain T = {(u, v, w) : u, v, w ≥ 0, u + v + w = 1} for values of α, β ...
Wala’a A. AlKasasbeh   +5 more
doaj   +1 more source

A Transference Result of the Lp-Continuity of the Jacobi Littlewood-Paley g-Function to the Gaussian and Laguerre Littlewood-Paley g-Function

open access: yesJournal of Function Spaces, 2018
We develop a transference method to obtain the Lp-continuity of the Gaussian-Littlewood-Paley g-function and the Lp-continuity of the Laguerre-Littlewood-Paley g-function from the Lp-continuity of the Jacobi-Littlewood-Paley g-function, in dimension one,
Eduard Navas, Wilfredo O. Urbina
doaj   +1 more source

Portfolio Optimization for Pension Purposes: Literature Review

open access: yesJournal of Economic Surveys, EarlyView.
ABSTRACT This systematic review identifies persistent challenges and gaps in the literature on pension portfolio optimization models. We searched, selected, and critically analyzed 82 articles from three major academic databases published over the past decade to investigate the barriers to the effective implementation of these models.
Leonardo Moreira   +2 more
wiley   +1 more source

LU factorizations, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials

open access: yes, 2006
For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov   +16 more
core   +2 more sources

Chebotarev's theorem for cyclic groups of order pq$pq$ and an uncertainty principle

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let p$p$ be a prime number and ζp$\zeta _p$ a primitive p$p$th root of unity. Chebotarev's theorem states that every square submatrix of the p×p$p \times p$ matrix (ζpij)i,j=0p−1$(\zeta _p^{ij})_{i,j=0}^{p-1}$ is nonsingular. In this paper, we prove the same for principal submatrices of (ζnij)i,j=0n−1$(\zeta _n^{ij})_{i,j=0}^{n-1}$, when n=pr ...
Maria Loukaki
wiley   +1 more source

On Finite Exceptional Orthogonal Polynomial Sequences Composed of Rational Darboux Transforms of Romanovski-Jacobi Polynomials

open access: yesAxioms
The paper presents the united analysis of the finite exceptional orthogonal polynomial (EOP) sequences composed of rational Darboux transforms of Romanovski-Jacobi polynomials.
Gregory Natanson
doaj   +1 more source

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