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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. © 2010 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Some recursive formulas for Selberg-type integrals
Autor:Iguri, S.; Mansour, T.
Filiación:Instituto de Astronomía y Física Del Espacio (CONICET-UBA). C. C. 67, Suc. 28, 1428 Buenos Aires, Argentina
Department of Mathematics, University of Haifa, Haifa 31905, Israel
Mathematical Science, Göteborg University, Chalmers University of Technology, S-412 96 Göteborg, Sweden
Año:2010
Volumen:43
Número:6
DOI: http://dx.doi.org/10.1088/1751-8113/43/6/065201
Título revista:Journal of Physics A: Mathematical and Theoretical
Título revista abreviado:J. Phys. Math. Theor.
ISSN:17518113
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v43_n6_p_Iguri

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Citas:

---------- APA ----------
Iguri, S. & Mansour, T. (2010) . Some recursive formulas for Selberg-type integrals. Journal of Physics A: Mathematical and Theoretical, 43(6).
http://dx.doi.org/10.1088/1751-8113/43/6/065201
---------- CHICAGO ----------
Iguri, S., Mansour, T. "Some recursive formulas for Selberg-type integrals" . Journal of Physics A: Mathematical and Theoretical 43, no. 6 (2010).
http://dx.doi.org/10.1088/1751-8113/43/6/065201
---------- MLA ----------
Iguri, S., Mansour, T. "Some recursive formulas for Selberg-type integrals" . Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 6, 2010.
http://dx.doi.org/10.1088/1751-8113/43/6/065201
---------- VANCOUVER ----------
Iguri, S., Mansour, T. Some recursive formulas for Selberg-type integrals. J. Phys. Math. Theor. 2010;43(6).
http://dx.doi.org/10.1088/1751-8113/43/6/065201