dc.date.accessioned2018-09-13T23:25:45Z
dc.date.available2018-09-13T23:25:45Z
dc.date.created2018-09-13T23:25:45Z
dc.date.issued2015
dc.identifierhttp://hdl.handle.net/10533/220470
dc.identifier1131098
dc.identifierWOS:000381051800004
dc.description.abstractWe study a new Selberg-type integral with n+m indeterminates, which turns out to be related to the deformed Calogero-Sutherland systems. We show that the integral satisfies a holonomic system of n + m non-symmetric linear partial differential equations. We also prove that a particular hypergeometric function defined in terms of super-Jack polynomials is the unique solution of the system. Some properties such as duality relations, integral formulas, Pfaff-Euler and Kummer transformations are also established. As a direct application, we evaluate the expectation value of ratios of characteristic polynomials in the classical beta-ensembles of Random Matrix Theory. Keywords. Author Keywords:Selberg integrals; super-Jack polynomials; multivariate hypergeometric function; beta-ensembles
dc.languageeng
dc.relationhttps://www.worldscientific.com/doi/abs/10.1142/S2010326315500070?src=recsys
dc.relation10.1142/S2010326315500070
dc.relationinfo:eu-repo/grantAgreement//1131098
dc.relationinfo:eu-repo/semantics/dataset/hdl.handle.net/10533/93477
dc.relationinstname: Conicyt
dc.relationreponame: Repositorio Digital RI2.0
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.titleSelberg integrals, super-hypergeometric functions and applications to beta-ensembles of random matrices
dc.typeArticulo


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