Doubling (Dual) Hahn Polynomials: Classification and Applications [PDF]
SIGMA 12 (2016), 003, 27 pages, 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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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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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.
Mahmmod BM +5 more
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The algebra of dual -1 Hahn polynomials and the Clebsch-Gordan problem of sl_{-1}(2) [PDF]
J. Math. Phys. 54, 02356 (2013), 2013 The algebra H of the dual -1 Hahn polynomials is derived and shown to arise in the Clebsch-Gordan problem of sl_{-1}(2). The dual -1 Hahn polynomials are the bispectral polynomials of a discrete argument obtained from a q-> -1 limit of the dual q-Hahn ...
Alexei Zhedanov +6 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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Bispectrality of the Complementary Bannai-Ito Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to a q→−1 limit of the Askey-Wilson ...
Vincent X. Genest +2 more
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Reports on Mathematical Physics, Volume 82, Issue 3, December
2018, Pages 285-301, 2017 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.
Alhaidari, A D, Li, Y. -T.
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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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On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
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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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