The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type

Consider the Laguerre polynomials and deform them by the introduction in the measure of an exponential singularity at zero. In [Chen Y., Its A., J. Approx. Theory 162 (2010), 270-297], the authors proved that this deformation can be described by systems of differential/difference equations for the c...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Cafasso, M., de la Iglesia, M.D.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209774
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type / M. Cafasso, M.D. de la Iglesia // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine