Results 31 to 40 of about 14,680 (235)
A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials [PDF]
, 2009 A high order linear $q$-difference equation with polynomial coefficients having $q$-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials ...
Abramowitz M. +10 more
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A Survey on q-Polynomials and their Orthogonality Properties [PDF]
, 2010 In this paper we study the orthogonality conditions satisfied by the classical q-orthogonal polynomials that are located at the top of the q-Hahn tableau (big q-jacobi polynomials (bqJ)) and the Nikiforov-Uvarov tableau (Askey-Wilson polynomials (AW ...
Alfaro +21 more
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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials
Mathematics, 2023 The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η.
Itsaso Fernández-Irisarri +1 more
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A finite quantum oscillator model related to special sets of Racah polynomials [PDF]
, 2016 In [R. Oste and J. Van der Jeugt, arXiv: 1507.01821 [math-ph]] we classified all pairs of recurrence relations in which two (dual) Hahn polynomials with different parameters appear.
Oste, Roy, Van der Jeugt, Joris
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Some results on biorthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, 1994 Some biorthogonal polynomials of Hahn and Pastro are derived using a polynomial modification of the Lebesgue measure dθ combined with analytic continuation. A result is given for changing the measures of biorthogonal polynomials on the unit circle by the
Richard W. Ruedemann
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Bivariate Hahn moments for image reconstruction
International Journal of Applied Mathematics and Computer Science, 2014 This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
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Quantum state transfer in spin chains with q-deformed interaction terms [PDF]
, 2010 We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the spin chain data (the nearest neighbour interaction strengths and the ...
Chakrabarti R +7 more
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Three-fold symmetric Hahn-classical multiple orthogonal polynomials [PDF]
Analysis and Applications, 2019 We characterize all the multiple orthogonal three-fold symmetric polynomial sequences whose sequence of derivatives is also multiple orthogonal. Such a property is commonly called the Hahn property and it is an extension of the concept of classical polynomials to the context of multiple orthogonality.
Ana F. Loureiro, Walter Van Assche
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Some Laguerre-Hahn Orthogonal Polynomials of Class One
Asia Pacific Journal of Mathematics, 2018 Summary: Let \(u(\beta_0)\) be the regular form fulfilling \((u(\beta_0))_{2n+1}=\beta_0(u(\beta_0))_{2n}\), \(n\geq 0\) where \(\beta_0\) is an arbitrary complex number in such a way that for \(\beta_0=0\) one has the symmetric forms. Recently, the symmetric Laguerre-Hahn forms (when \(\beta_0=0\)) of class \(s\leq1\) are determined. In this paper, we
M. Sghaier, M. Zaatra, A. Khlifi
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The Weyl Algebra, Spherical Harmonics, and Hahn Polynomials [PDF]
Banach Center Publications, 2001 13 pages, uses bcp01e ...
Ewa Gnatowska, Aleksander Strasburger
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