Results 41 to 50 of about 2,361 (229)

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

Symmetry algebra for the generic superintegrable system on the sphere

Journal of High Energy Physics, 2018
The goal of the present paper is to provide a detailed study of irreducible representations of the algebra generated by the symmetries of the generic quantum superintegrable system on the d-sphere.
Plamen Iliev
doaj   +1 more source

Portfolio Optimization for Pension Purposes: Literature Review

Journal 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, Igor Leão dos Santos, Pedro Henrique Gonzalez   +2 more
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

$-1$ Krall–Jacobi polynomials [PDF]

Methods and Applications of Analysis, 2015
9 ...
Alexei Zhedanov, Guo-Fu Yu, Luc Vinet
openaire   +3 more sources

A distributed model predictive approach for network traffic signal control using multi‐objective dynamic programming

Computer-Aided Civil and Infrastructure Engineering, EarlyView.
Abstract Real‐time traffic signal control (TSC) in road networks remains challenging due to variable traffic flows and high computational complexity. Existing model predictive control (MPC) approaches often face several limitations, including the reliance on commercial solvers, the inflexibility of single‐objective optimization, and the use of ...
Lyuzhou Luo, Chaopeng Tan, Keshuang Tang, Hong Zhu   +3 more
wiley   +1 more source

Jacobi Polynomials on the Bernstein Ellipse [PDF]

Journal of Scientific Computing, 2017
In this paper, we are concerned with Jacobi polynomials $P_n^{(α,β)}(x)$ on the Bernstein ellipse with motivation mainly coming from recent studies of convergence rate of spectral interpolation. An explicit representation of $P_n^{(α,β)}(x)$ is derived in the variable of parametrization. This formula further allows us to show that the maximum value of $
Haiyong Wang, Lun Zhang
openaire   +2 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, EarlyView.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions

Mathematics
The paper advances a new technique for constructing the exceptional differential polynomial systems (X-DPSs) and their infinite and finite orthogonal subsets.
Gregory Natanson
doaj   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source