Results 1 to 10 of about 73,122 (279)
On discrete orthogonal polynomials of several variables [PDF]
Advances in Applied Mathematics, 2004 15 pages, 2 ...
Yuan Xu
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Some discrete multiple orthogonal polynomials [PDF]
Journal of Computational and Applied Mathematics, 2003 Zbl#: Zbl 1021 ...
J. Arvesú +2 more
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Multiplicity of zeros and discrete orthogonal polynomials [PDF]
Results in Mathematics, 2002 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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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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Continuum discretization using orthogonal polynomials [PDF]
Physical Review A, 2003 A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently been presented @Phys. Rev. A 63, 052111 ~2001!#. In the present paper, we propose a generalization of that formalism which does not rely on the harmonic oscillator for the inclusion of the continuum in the study of weakly bound systems.
F. Pérez‐Bernal +3 more
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Discrete orthogonal polynomials and difference equations of several variables [PDF]
Advances in Mathematics, 2006 minor typos ...
Plamen Iliev, Yuan Xu
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Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials [PDF]
Difference Equations, Special Functions and Orthogonal Polynomials, 2005 We give four examples of families of orthogonal polynomials for which the coefficients in the recurrence relation satisfy a discrete Painlev equation. The first example deals with Freud weights $|x|^ \exp(-|x|^m)$ on the real line, and we repeat Freud's derivation and analysis for the cases $m=2,4,6$.
Walter Van Assche
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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.
W. 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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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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