Results 11 to 20 of about 71,879 (309)
Some discrete multiple orthogonal polynomials
Journal of Computational and Applied Mathematics, 2003 Zbl#: Zbl 1021 ...
J. Arvesú, J. Coussement, W. Van Assche
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Multiplicity of zeros and discrete orthogonal polynomials [PDF]
Results in Mathematics, 2004 We consider a problem of bounding the maximal possible multiplicity of a zero at of some expansions $\sum a_i F_i(x)$, at a certain point $c,$ depending on the chosen family $\{F_i \}$. The most important example is a polynomial with $c=1.$ It is shown that this question naturally leads to discrete orthogonal polynomials.
Ilia Krasikov
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Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices [PDF]
, 2005 We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is any complex number.
A. F. Nikiforov +15 more
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On discrete orthogonal polynomials of several variables
Advances in Applied Mathematics, 2004 15 pages, 2 ...
Yuan Xu
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Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (
Hiroshi Miki +2 more
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Polynomials orthogonal with respect to discrete convolution
Journal of Mathematical Analysis and Applications, 1976 AbstractThe concept of “Discrete Convolution Orthogonality” is introduced and investigated. This leads to new orthogonality relations for the Charlier and Meixner polynomials. This in turn leads to bilinear representations for them. We also show that the zeros of a family of convolution orthogonal polynomials are real and simple.
Waleed A. Al-Salam, Mourad E. H. Ismail
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Discrete Orthogonal Polynomial Ensembles and the Plancherel Measure [PDF]
The Annals of Mathematics, 2001 38 pages, published ...
Kurt Johansson
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Sobolev orthogonal polynomials: The discrete-continuous case [PDF]
Methods and Applications of Analysis, 1999 If a sequence of polynomials is orthogonal with respect to a bilinear form involving derivatives, these are known as Sobolev orthogonal polynomials. In this paper, a particular case of the bilinear form is considered, called the discrete-continuous one, such as that it involves up to \(N \in \mathbb N\) derivatives of the functions, but the first \(N-1\
M. Alfaro +3 more
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On Generating Orthogonal Polynomials for Discrete Measures
Zeitschrift für Analysis und ihre Anwendungen, 1998 In the present paper, we derive an algorithm for computing the recurrence coefficients of orthogonal polynomials with respect to discrete measures. This means that the support of the measure is a finite set. The algorithm is based oniormulae of Nevai describing the transformation of recurrence coefficients, if we add a point mass to the measure of ...
Hans-Jürgen Fischer
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Some discrete d-orthogonal polynomial sets
Journal of Computational and Applied Mathematics, 2003 The concept of \(d\)-orthogonality has been received quite a lot of attention over the last ten years and the authors give a very interesting contribution to the development of the field. Let \(u\) be a linear functional on the space \textbf{P} of all polynomials; its action is written as \(\langle u,f\rangle\) for all \(f\in\mathbf{P}\).
Ali Zaghouani, Youssèf Ben Cheikh
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