Results 71 to 80 of about 538,632 (288)
Mehler-Heine asymptotics for multiple orthogonal polynomials
, 2016 Mehler-Heine asymptotics describe the behavior of orthogonal polynomials near the edges of the interval where the orthogonality measure is supported. For Jacobi polynomials and Laguerre polynomials this asymptotic behavior near the hard edge involves ...
Van Assche, Walter
core +1 more source
Zeros of Quasi-Orthogonal Jacobi Polynomials ? [PDF]
, 2015 We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by > 1, 2 1 and 2 1, 2 < < 1.
K. Driver, K. Jordaan
semanticscholar +1 more source
Inequalities for Jacobi polynomials [PDF]
The Ramanujan Journal, 2013 A Bernstein type inequality is obtained for the Jacobi polynomials $P_n^{α,β}(x)$, which is uniform for all degrees $n\ge0$, all real $α,β\ge0$, and all values $x\in [-1,1]$. It provides uniform bounds on a complete set of matrix coefficients for the irreducible representations of $\mathrm{SU}(2)$ with a decay of $d^{-1/4}$ in the dimension $d$ of the ...
Haagerup, Uffe, Schlichtkrull, Henrik
openaire +3 more sources
A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
Advances in Mathematical Physics, 2020 This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Zhiyuan Li +3 more
doaj +1 more source
Portfolio Optimization for Pension Purposes: Literature Review
Journal of Economic Surveys, Volume 40, Issue 1, Page 45-72, February 2026.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
MathematicsThe 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
INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND
Проблемы анализа, 2019 We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials.
V. G. Lysov
doaj +1 more source
, 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