Results 61 to 70 of about 538,632 (288)

Differential Equations for Jacobi-Pineiro Polynomials [PDF]

Computational Methods and Function Theory, 2006
For $r\in \Z_{\geq 0}$, we present a linear differential operator %$(\di)^{r+1}+ a_1(x)(\di)^{r}+...+a_{r+1}(x)$ of order $r+1$ with rational coefficients and depending on parameters. This operator annihilates the $r$-multiple Jacobi-Pi eiro polynomial.
Mukhin, Eugene, Varchenko, Alexander
openaire   +2 more sources

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

Movement 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, Imis Dogan, Paola Giunti, Michael H. Parkinson, Caterina Mariotti, Alexandra Durr, Claire Ewenczyk, Sylvia Boesch, Wolfgang Nachbauer, Thomas Klopstock, Claudia Stendel, Francisco Javier Rodríguez de Rivera Garrido, Ludger Schöls, Zofia Fleszar, Thomas Klockgether, Marcus Grobe‐Einsler, Ilaria Giordano, Myriam Rai, Massimo Pandolfo, Heike Jacobi, Ralf‐Dieter Hilgers, Jörg B. Schulz, Kathrin Reetz, on behalf of the EFACTS Study Group   +23 more
wiley   +1 more source

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

Advanced 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, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain

Image 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, Abedallah Rababah, Iqbal Batiha, Iqbal H. Jebril, Hamzah O. Al-Khawaldeh, Radwan M. Batyha   +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

Journal 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

Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials [PDF]

, 2016
The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre
S. Odake, R. Sasaki
semanticscholar   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source

An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley   +1 more source

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

Axioms
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

Jacobi-weighted orthogonal polynomials on triangular domains

Journal of Applied Mathematics, 2005
We construct Jacobi-weighted orthogonal polynomials 𝒫n,r(α,β,γ)(u,v,w),α,β,γ>−1,α+β+γ=0, on the triangular domain T. We show that these polynomials 𝒫n,r(α,β,γ)(u,v,w) over the triangular domain T satisfy the following properties: 𝒫n,r(α,β,γ)(u,v,w)∈ℒn,n ...
A. Rababah, M. Alqudah
doaj   +1 more source