Chebyshev expansions for integrals of the error function

Asymptotic Expansions for Integrals

Character Expansions , Itzykzon - Zuber Integrals , and the QCD Partition Function

A combinatorial formula to generate U (N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of ...

Computation of integrals with oscillatory and singular integrands using Chebyshev expansions

This paper is concerned with evaluation of integrals whose integrands are oscillatory and contain singularities at the endpoints of the interval of integration. A typical form is G(9) ■ f * w(x)e*xf(x) dx, where a and b can be finite or infinite, 9 is a parameter which is usually large, fix) is analytic in the range of integration, and the singularities are encompassed in the weight function w(...

Chebyshev type inequalities for pseudo-integrals

A Chebyshev criterion for Abelian integrals

We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, several known results are obtained in a shorter way and some new results, which could no...