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arxiv: solv-int/9705002 · v1 · submitted 1997-05-01 · solv-int · nlin.SI

Rational solutions to d-PIV

classification solv-int nlin.SI
keywords solutionsd-pivrationalableapplyingcontinuousdeterminantaldiscrete
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We study the rational solutions of the discrete version of Painleve's fourth equation d-PIV. The solutions are generated by applying Schlesinger transformations on the seed solutions -2z and -1/z. After studying the structure of these solutions we are able to write them in a determinantal form that includes an interesting parameter shift that vanishes in the continuous limit.

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