Asymptotic zero distribution of Jacobi-Pineiro and multiple Laguerre polynomials

© 2016 Elsevier Inc. We give the asymptotic distribution of the zeros of Jacobi-Piñeiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of multiple orthogonal polynomials. We show how these asymptotic zero distributions are related to the Fuss-Catalan distribution.publisher: Elsevier articletitle: Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials journaltitle: Journal of Approximation Theory articlelink: http://dx.doi.org/10.1016/j.jat.2016.02.002 content_type: article copyright: Copyright © 2016 Elsevier Inc. All rights reserved.status: publishe