Asymptotic zero distribution for a class of multiple orthogonal polynomials

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We establish the asymptotic zero distribution for polynomials generated by a four-term recurrence relation with varying recurrence coefficients having a particular limiting behavior. The proof is based on ratio asymptotics for these polynomials. We can apply this result to three examples of multiple orthogonal polynomials, in particular Jacobi-Pineiro, Laguerre I and the example associated with Macdonald functions. We also discuss an application to Toeplitz matrices.
18 pages, 2 figures

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Classical Analysis and ODEs, Spectral Theory, 33C45; 42C05; 15A18

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http://salesiana.dossiersoluciones.com/handle/123456789/113936

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606440
 http://arxiv.org/abs/math/0606440

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arXiv