IAFE 05512
INSTITUTO DE ASTRONOMIA Y FISICA DEL ESPACIO
Unidad Ejecutora - UE
artículos
Título:
Some recursive formulas for Selberg-type integrals
Autor/es:
SERGIO IGURI; TOUFIK MANSOUR
Revista:
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2010 vol. 43 p. 65201 - 65212
ISSN:
1751-8113
Resumen:
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 54549 and Iguri (2009) Lett. Math. Phys. 89 14158. These formulas provide a well-defined algorithm for computing SelbergSchur 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.
