Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials

Abstract

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.

19 pages, 2 figures. Some minor corrections and four new references added

References in corpus (1)

• Raney distributions and random matrix theory

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