Multiple orthogonal polynomials associated with an exponential cubic weight
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Autores: Walter Van Assche
, Galina Filipuk, Lun Zhang
- Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 190, Nº 1, 2015, págs. 1-25
- Idioma: inglés
- DOI: 10.1016/j.jat.2014.06.006
- Enlaces
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Resumen
We consider multiple orthogonal polynomials associated with the exponential cubic weight e-x3 over two contours in the complex plane. We study the basic properties of these polynomials, including the Rodrigues formula and nearest-neighbor recurrence relations. It turns out that the recurrence coefficients are related to a discrete Painlev´e equation. The asymptotics of the recurrence coefficients, the ratio of the diagonal multiple orthogonal polynomials and the (scaled) zeros of these polynomials are also investigated.
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