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Cassatella-Contra, Giovanni A. and Mañas Baena, Manuel
(2012)
*Riemann–Hilbert problems, matrix orthogonal polynomials
and discrete matrix equations with singularity confinement.*
Studies in applied mathematics, 128
(3).
pp. 252-274.
ISSN 0022-2526

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Official URL: http://dx.doi.org/10.1111/j.1467-9590.2011.00541.x

## Abstract

n this paper, matrix orthogonal polynomials in the real line are described in terms of a RiemannHilbert problem. This approach provides an easy derivation of discrete equations for the corresponding matrix recursion coefficients. The discrete equation is explicitly derived in the matrix Freud case, associated with matrix quartic potentials. It is shown that, when the initial condition and the measure are simultaneously triangularizable, this matrix discrete equation possesses the singularity confinement property, independently if the solution under consideration is given by the recursion coefficients to quartic Freud matrix orthogonal polynomials or not.

Item Type: | Article |
---|---|

Additional Information: | Wiley-Blackwell. |

Uncontrolled Keywords: | 2nd-Order differential-equations; Painleve equations; Formulas |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 31478 |

Deposited On: | 17 Jul 2015 12:13 |

Last Modified: | 10 Dec 2018 15:09 |

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