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Stieltjes’ theorem for classical discrete orthogonal polynomials
Journal of Mathematical Physics, 2020The purpose of this note is to establish, from the hypergeometric-type difference equation introduced by Nikiforov and Uvarov, new tractable sufficient conditions for the monotonicity with respect to a real parameter of zeros of classical discrete ...
K. Castillo, F. R. Rafaeli, A. Suzuki
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Exceptional Orthogonal Polynomials via Krall Discrete Polynomials
, 2020We consider two important extensions of the classical and classical discrete orthogonal polynomials: namely, Krall and exceptional polynomials. We also explore the relationship between both extensions and how they can be used to expand the Askey tableau.
A. J. Durán
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Bivariate Symmetric Discrete Orthogonal Polynomials
, 2017In this paper, we analyze second-order linear partial difference equations having bivariate symmetric orthogonal polynomial solutions. We present conditions to have admissible, potentially self-adjoint partial difference equations of hypergeometric type having orthogonal polynomial solutions.
Y. G. Tefo, I. Area, M. Foupouagnigni
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Discrete Orthogonal Polynomials
Encyclopedia of Special Functions: The Askey-Bateman Project, 2020J. Baik +3 more
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International Journal of Systems Science, 2022
This paper investigates model order reduction (MOR) methods of discrete-time systems via discrete orthogonal polynomials in the time domain. First, this system is expanded under discrete orthogonal polynomials, and the expansion coefficients are computed
Zhaoxi Wang, Yaolin Jiang, Kangli Xu
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This paper investigates model order reduction (MOR) methods of discrete-time systems via discrete orthogonal polynomials in the time domain. First, this system is expanded under discrete orthogonal polynomials, and the expansion coefficients are computed
Zhaoxi Wang, Yaolin Jiang, Kangli Xu
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, 2021
In this paper, we are interested in the following problem. We assume that is a monic 2-orthogonal polynomial sequence and we analyse the existence of a sequence of 2-orthogonal polynomials such that we have a decomposition This constitutes the ...
F. Marcellán, H. Chaggara, N. Ayadi
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In this paper, we are interested in the following problem. We assume that is a monic 2-orthogonal polynomial sequence and we analyse the existence of a sequence of 2-orthogonal polynomials such that we have a decomposition This constitutes the ...
F. Marcellán, H. Chaggara, N. Ayadi
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Hermite Orthogonal Polynomials of a Discrete Variable
Journal of Computational Methods in Sciences and Engineering, 2002The Hermite orthogonal polynomials on a discrete point set are constructed. A discrete point set, a weight function and normalizing factors are obtained, and the orthogonality of them is proved. The problems of an approximation of functions by one, two and three variables with the help of interpolation of the Hermite series constructed on the ...
Streltsova, O. I., Streltsov, I. P.
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Discrete (Legendre) orthogonal polynomials—a survey
International Journal for Numerical Methods in Engineering, 1974AbstractThe discrete (Legendre) orthogonal polynomials, (DLOP's) are useful for approximation purposes. This set of mth degree polynomials {Pm(K, N)} are orthogonal with unity weight over a uniform discrete interval and are completely determined by the normalization Pm(O, N) = 1.
Neuman, C. P., Schonbach, D. I.
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