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SIAMNUM

2010

8 years 5 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

8 years 5 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

8 years 5 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

8 years 8 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

8 years 8 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

8 years 8 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

8 years 10 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

8 years 10 months ago
2004

Given a sequence {Qn(x)} n=0 of symmetric orthogonal polynomials, defined by a recurrence formula Qn(x) = n

JAT

2006

8 years 10 months ago
2006

Let

JAT

2006

8 years 10 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...