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arXiv · 1603.03762

Monotonicity of Zeros of Jacobi-Angelesco polynomials

Eliel J. C. dos Santos
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Abstract

We study the monotonic behaviour of the zeros of the multiple Jacobi-Angelesco orthogonal polynomials, in the diagonal case, with respect to the parameters $\alpha,\beta$ and $\gamma$. We prove that the zeros are monotonic functions of $\alpha$ and $\gamma$ and consider some special cases of how the zeros depend on $\beta$, especially in the presence of symmetry. As a consequence we obtain results about monotonicity of zeros of Jacobi-Laguerre and Laguerre-Hermite multiple orthogonal polynomials too.

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BibTeXRIS

Eliel J. C. dos Santos. 2016-03-11. Monotonicity of Zeros of Jacobi-Angelesco polynomials. https://arxiv.org/abs/1603.03762

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