Jacobi-Angelesco multiple orthogonal polynomials on an r-star

We investigate type I multiple orthogonal polynomials on r intervals which have a common point at the origin and endpoints at the r roots of unity. We use the weight function |x|^β (1-x^r)^α, with α,β >-1 for the multiple orthogonality relations. We give explicit formulas for the type I multiple orthogonal polynomials, the coefficients in the recurrence relation, the differential equation, and we obtain the asymptotic distribution of the zeros.

Publication year:2020

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BOF-publication weight:2

CSS-citation score:2

Authors from:Higher Education

Accessibility:Open