Performance enhancement of high order Hahn polynomials using multithreading. [PDF]
PLoS ONE, 2023 Orthogonal polynomials and their moments have significant role in image processing and computer vision field. One of the polynomials is discrete Hahn polynomials (DHaPs), which are used for compression, and feature extraction.
Basheera M Mahmmod +5 more
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Fast Computation of Hahn Polynomials for High Order Moments [PDF]
IEEE Access, 2022 Discrete Hahn polynomials (DHPs) and their moments are considered to be one of the efficient orthogonal moments and they are applied in various scientific areas such as image processing and feature extraction.
Basheera M. Mahmmod +3 more
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A Spectral Method Based on Hahn Polynomials for Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernel [PDF]
پژوهشهای ریاضی, 2020 Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi +2 more
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Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study coupling coefficients for a multiple tensor product of highest weight representations of the SU(1,1) quantum group. These are multivariable generalizations of the q-Hahn polynomials.
Hjalmar Rosengren
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An Exactly Solvable Spin Chain Related to Hahn Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study a linear spin chain which was originally introduced by Shi et al. [Phys. Rev. A 71 (2005), 032309, 5 pages], for which the coupling strength contains a parameter α and depends on the parity of the chain site.
Neli I. Stoilova, Joris Van der Jeugt
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A Discrete Cramér–Von Mises Statistic Related to Hahn Polynomials with Application to Goodness-of-Fit Testing for Hypergeometric Distributions [PDF]
AxiomsWe give the Karhunen–Loève expansion of the covariance function of a family of discrete weighted Brownian bridges, appearing as discrete analogues of continuous Gaussian processes related to Cramér –von Mises and Anderson–Darling statistics. This analogy
Jean-Renaud Pycke
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Alexandria Engineering JournalIn this paper, the ψ-Caputo derivative is employed to develop a novel formulation of the fractional 2D diffusion-wave equation, incorporating damping and reaction terms.
M.H. Heydari +3 more
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Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of time-fractional partial differential equations that have nonsmooth solutions.
N. Mollahasani
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
SciPost Physics Proceedings, 2023 The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
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