Results 31 to 40 of about 73,008 (249)
Discrete semi-classical orthogonal polynomials: generalized Charlier
Journal of Computational and Applied Mathematics, 2000 Charlier polynomials are discrete orthogonal polynomials on the integers with respect to the Poisson distribution, i.e., with weights \(\mu^k/k!\) at the points \(k \in {\mathbb N}\). The generalized Charlier polynomials in this paper are discrete orthogonal polynomials with weights \(\mu^k/(k!)^r\).
Hounkonnou, M. +2 more
openaire +2 more sources
Orthogonal Polynomials in Mathematical Physics
, 2017 This is a review of ($q$-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory.
Chan, Chuan-Tsung +3 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (
Hiroshi Miki +2 more
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Accelerated and Improved Stabilization for High Order Moments of Racah Polynomials
IEEE Access, 2023 Discrete Racah polynomials (DRPs) are highly efficient orthogonal polynomials and used in various scientific fields for signal representation. They find applications in disciplines like image processing and computer vision.
Basheera M. Mahmmod +4 more
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A hidden analytic structure of the Rabi model
, 2013 The Rabi model describes the simplest interaction between a cavity mode with a frequency $\omega_c$ and a two-level system with a resonance frequency $\omega_0$.
Moroz, Alexander
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, 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
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Discrete Fourier Analysis and Chebyshev Polynomials with $G_2$ Group [PDF]
, 2012 The discrete Fourier analysis on the $30^{\degree}$-$60^{\degree}$-$90^{\degree}$ triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group $G_2$, which leads to the definition of four ...
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
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Stable Calculation of Krawtchouk Functions from Triplet Relations
Mathematics, 2021 Deployment of the recurrence relation or difference equation to generate discrete classical orthogonal polynomials is vulnerable to error propagation. This issue is addressed for the case of Krawtchouk functions, i.e., the orthonormal basis derived from ...
Albertus C. den Brinker
doaj +1 more source
Advanced Healthcare Materials, EarlyView.A two‐phase workflow (OFAT screening followed by central composite design) maps how processing variables tune PFCE‐PLGA nanoparticle size, dispersity, surface charge, loading, and 19F‐MRI signal. In situ, time‐resolved synchrotron SAXS tracks albumin‐corona growth on intact dispersions and reveals PFCE‐dependent adsorption pathways.
Joice Maria Joseph +11 more
wiley +1 more source
Discrete transforms and orthogonal polynomials of (anti)symmetric multivariate cosine functions
, 2014 The discrete cosine transforms of types V--VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the ...
Hrivnák, Jiří, Motlochová, Lenka
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