Some recursive formulas for Selberg-type integrals
Mathematical Physics
2010-04-06 v1 High Energy Physics - Theory
math.MP
Abstract
A set of recursive relations satisfied by Selberg-type integrals involving monomial symmetric polynomials are derived, generalizing previously known results. These formulas provide a well-defined algorithm for computing Selberg-Schur integrals whenever the Kostka numbers relating Schur functions and the corresponding monomial polynomials are explicitly known. We illustrate the usefulness of our results discussing some interesting examples.
Cite
@article{arxiv.0912.3507,
title = {Some recursive formulas for Selberg-type integrals},
author = {Sergio Iguri and Toufik Mansour},
journal= {arXiv preprint arXiv:0912.3507},
year = {2010}
}
Comments
11 pages. To appear in Jour. Phys. A