Results 251 to 260 of about 133,676 (303)

Discrete Semiclassical Orthogonal Polynomials of Class 2 [PDF]

Orthogonal Polynomials: Current Trends and Applications, 2019
In this contribution, discrete semiclassical orthogonal polynomials of class $s\leq2$ are studied. By considering all possible solutions of the Pearson equation, we obtain the canonical families in each class.
Diego Dominici, Francisco Marcell'an Espanol   +1 more
semanticscholar   +3 more sources

Some of the next articles are maybe not open access.

Related searches:

Discrete Orthogonal Polynomials

Encyclopedia of Special Functions: The Askey-Bateman Project, 2020
J. Baik, T. Kriecherbauer, -R McLaughlin, P. D. Miller   +3 more
semanticscholar   +2 more sources

Bivariate Symmetric Discrete Orthogonal Polynomials

, 2017
In this paper, we analyze second-order linear partial difference equations having bivariate symmetric orthogonal polynomial solutions. We present conditions to have admissible, potentially self-adjoint partial difference equations of hypergeometric type having orthogonal polynomial solutions.
Y. G. Tefo, I. Area, M. Foupouagnigni
semanticscholar   +2 more sources

Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions

International Journal of Systems Science, 2022
This paper investigates model order reduction (MOR) methods of discrete-time systems via discrete orthogonal polynomials in the time domain. First, this system is expanded under discrete orthogonal polynomials, and the expansion coefficients are computed
Zhaoxi Wang, Yaolin Jiang, Kangli Xu
semanticscholar   +1 more source

2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

, 2021
In this paper, we are interested in the following problem. We assume that is a monic 2-orthogonal polynomial sequence and we analyse the existence of a sequence of 2-orthogonal polynomials such that we have a decomposition This constitutes the ...
F. Marcellán, H. Chaggara, N. Ayadi
semanticscholar   +1 more source

Discrete classical orthogonal polynomials

Journal of Difference Equations and Applications, 1998
We find necessary and sufficient conditions for the difference equation of hypergeometric type to have polynomial solutions , which are orthogonal, that is Traditionallydμ(x) is a positive measure but here we allow it to be a signed measure. We then show that the usual restrictions on parameters in discrete classical orthogonal polynomials can be ...
Kwon, KH Kwon, Kil Hyun, Lee, DW, Park, SB, Yoo, BH   +3 more
openaire   +1 more source

Discrete (Legendre) orthogonal polynomials—a survey

International Journal for Numerical Methods in Engineering, 1974
AbstractThe discrete (Legendre) orthogonal polynomials, (DLOP's) are useful for approximation purposes. This set of mth degree polynomials {Pm(K, N)} are orthogonal with unity weight over a uniform discrete interval and are completely determined by the normalization Pm(O, N) = 1.
Neuman, C. P., Schonbach, D. I.
openaire   +1 more source

On Generating Discrete Orthogonal Bivariate Polynomials

BIT Numerical Mathematics, 2002
This paper is concerned with an algorithm for recursively generating discrete orthogonal bivariate polynomials on a finite set \(S\left \{ (x_j,y_j) \right \} _{j=1}^n \in \mathbb R ^2 \) with respect to a weight vector \(m=(m_1,\dots ,m_n)\) having unit mass.
Huhtanen, Marko, Larsen, Rasmus Munk
openaire   +1 more source

MeixnerNet: Adaptive and Robust Spectral Graph Neural Networks with Discrete Orthogonal Polynomials

arXiv.org
Spectral Graph Neural Networks (GNNs) have achieved state-of-the-art results by defining graph convolutions in the spectral domain. A common approach, popularized by ChebyNet, is to use polynomial filters based on continuous orthogonal polynomials (e.g.,
Hüseyin Göksu
semanticscholar   +1 more source

Discrete orthogonal polynomials – polynomial modification of a classical functional

Journal of Difference Equations and Applications, 2001
Polynomial modifications of a classical discrete linear functional are examined in detail, in particular when the new linear functional remains classical. New addition formulas are deduced for Charlier, Meixner and Hahn polynomials from the Christoffei representation and results are also given for a particular generalized Meixner family.
Ronveaux, André, Salto, L.
openaire   +2 more sources