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Quantum Painlevé equations: from continuous to discrete and back

✍ Scribed by H. Nagoya; B. Grammaticos; A. Ramani

Book ID
111469472
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
432 KB
Volume
13
Category
Article
ISSN
1560-3547

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Discrete analogues of the Painleve equations have recently been derived using either a method based on orthogonal polynomials or the singularity confinement method. Here we analyze additional methods for deriving integrable nonautonomous discrete equations. These methods are based on the discrete AK

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We study the special limits of discrete Painleve´equations belonging to the qÀP VI and dÀP V families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painleve´equations, usually of P VI but a