Some recursive formulas for Selberg-type integrals
Journal article, 2010

A set of recursive relations satisfied by Selberg-type integrals involving monomial symmetric polynomials are derived, generalizing previous results in Aomoto (1987) SIAM J. Math. Anal. 18 545-49 and Iguri (2009) Lett. Math. Phys. 89 141-58. 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.

representations

root systems

random-matrix theory

conjecture

proof

algebra

polynomials

operators

Author

Sergio Iguri

Instituto de Astronomia y Fisica del Espacio

Toufik Mansour

University of Gothenburg

Chalmers, Mathematical Sciences

Journal of Physics A: Mathematical and Theoretical

1751-8113 (ISSN) 1751-8121 (eISSN)

Vol. 43 6

Subject Categories

Mathematics

DOI

10.1088/1751-8113/43/6/065201

More information

Created

10/7/2017