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arXiv · 1802.00116

Four-dimensional Painlev\'e-type difference equations

Hiroshi Kawakami
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Abstract

We focus on Fuchsian equations with four accessory parameters and three singular points. We see that the Fuchsian equations admit a "degeneration scheme" in some sense, which is expected to give rise to a degeneration scheme of discrete isomodromic deformation equations with four-dimensional phase space. We compute an example of discrete isomonodromic deformation equations of a certain Fuchsian equation.

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Hiroshi Kawakami. 2018-02-01. Four-dimensional Painlev\'e-type difference equations. https://arxiv.org/abs/1802.00116

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