Title: Multiple orthogonal polynomials associated with an exponential cubic weight
Authors: Van Assche, Walter ×
Filipuk, Galina
Zhang, Lun #
Issue Date: Feb-2015
Publisher: Academic Press
Series Title: Journal of Approximation Theory vol:190 pages:1-25
Abstract: We consider multiple orthogonal polynomials associated with the exponential cubic weight e^{−x^3} 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 Painlevé 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.
ISSN: 0021-9045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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