The multivariate Hahn polynomials and the singular oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 Karlin and McGregor's d-variable Hahn polynomials are shown to arise in the (d+1)-dimensional singular oscillator model as the overlap coefficients between bases associated to the separation of variables in Cartesian and hyperspherical coordinates. These
Genest, Vincent X., Vinet, Luc
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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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Constructing Krall-Hahn orthogonal polynomials [PDF]
Journal of Mathematical Analysis and Applications, 2014 Given a sequence of polynomials $(p_n)_n$, an algebra of operators $\mathcal A$ acting in the linear space of polynomials and an operator $D_p\in \mathcal A$ with $D_p(p_n)=\theta_np_n$, where $\theta_n$ is any arbitrary eigenvalue, we construct a new ...
Antonio J. Durán +3 more
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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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Quantum Systems Associated with the Hahn and Continuous Hahn Polynomials [PDF]
Reports on Mathematical Physics, 2018 Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials. The continuum energy scattering states are written in terms of the continuous Hahn polynomial whose asymptotics give the scattering amplitude and phase shift. On the other
A. D. Alhaidari, Y.-T. Li
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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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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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On difference operators for symmetric Krall-Hahn polynomials [PDF]
Integral Transforms and Special Functions, 2018 18 ...
Antonio J. Durán +1 more
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Doubling (Dual) Hahn Polynomials: Classification and Applications [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles.
Oste, Roy, Van der Jeugt, Joris
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