SIAMNUM
2010
12 years 11 months ago
2010
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 ...
MOC
2010
12 years 11 months ago
2010
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...
JCAM
2010
12 years 11 months ago
2010
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 +
SIAMSC
2010
13 years 2 months ago
2010
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 ...
JAT
2010
13 years 2 months ago
2010
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...
JAT
2010
13 years 2 months ago
2010
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...
JAT
2007
13 years 3 months ago
2007
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...
COMBINATORICS
2004
13 years 4 months ago
2004
Given a sequence {Qn(x)} n=0 of symmetric orthogonal polynomials, defined by a recurrence formula Qn(x) = n
JAT
2006
13 years 4 months ago
2006
Let
JAT
2006
13 years 4 months ago
2006
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...