Some recursive formulas for Selberg-type integrals

Sergio Iguri, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number065201
JournalJournal of Physics A: Mathematical and Theoretical
Volume43
Issue number6
DOIs
StatePublished - 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy (all)

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