On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI

Painlevé's transcendental differential equation P VI may be expressed as the consistency condition for a pair of linear differential equations with 2 × 2 matrix coefficients with rational entries. By a construction due to Tracy and Widom, this linear system is associated with certain kernels wh...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 376; no. 1; pp. 294 - 316
Main Author:	Blower, Gordon
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.04.2011 Elsevier
Subjects:	Algebra Algebraic geometry Exact sciences and technology Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Ordinary differential equations Random matrices Sciences and techniques of general use Tracy–Widom operators Tracy–Widom operators Random matrices Arithmetics Differential equation Determinant Elliptic function Linear operator Lamé function Equation system Orthogonal projection Linear system Linear equation Mathematical analysis Hilbert space Tracy-Widom operators Transfer function Matrix equation Meromorphic function
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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