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SIAMNUM
2010
99views more  SIAMNUM 2010»
8 years 5 months ago
On the Fourier Extension of Nonperiodic Functions
We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [-1, 1] by extending these functions to periodic functions on a larger domain. The series ...
Daan Huybrechs
MOC
2010
8 years 5 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
JCAM
2010
97views more  JCAM 2010»
8 years 5 months ago
Random walk with long-range interaction with a barrier and its dual: Exact results
We consider the random walk on Z+ = {0, 1, ...} , with up and down transition probabilities given the chain is in state x {1, 2, ...}: (1) px = 1 2 ,, 1 2x +
Thierry Huillet
SIAMSC
2010
134views more  SIAMSC 2010»
8 years 8 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley
JAT
2010
70views more  JAT 2010»
8 years 8 months ago
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
JAT
2010
82views more  JAT 2010»
8 years 8 months ago
The Laguerre-Sobolev-type orthogonal polynomials
In this paper we find the second order linear differential equation satisfied by orthogonal polynomials with respect to the inner product p, q = ∞ 0 p(x)q(x)xα e−x dx + Mp...
Herbert Dueñas, Francisco Marcellán
JAT
2007
67views more  JAT 2007»
8 years 10 months ago
Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle
Rakhmanov’s theorem for orthogonal polynomials on the unit circle gives a sufficient condition on the orthogonality measure for orthogonal polynomials on the unit circle, in orde...
Walter Van Assche
COMBINATORICS
2004
67views more  COMBINATORICS 2004»
8 years 10 months ago
Orthogonal Polynomials Represented by CW-Spheres
Given a sequence {Qn(x)} n=0 of symmetric orthogonal polynomials, defined by a recurrence formula Qn(x) = n
Gábor Hetyei
JAT
2006
74views more  JAT 2006»
8 years 10 months ago
An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials
We construct a measure such that if {pn(z)} is the sequence of orthogonal polynomials relative to that measure, then the Riemann Hypothesis with simple zeros is true if and only if...
David A. Cardon, Sharleen A. Roberts
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