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A q-analog of the sixth Painlevé equation

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Abstract

A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the monodromy-preserving deformation of linear differential equations. The continuous limit and special solutions in terms of q-hypergeometric functions are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kyoto University, 606, Kyoto, Japan

    Michio Jimbo & Hidetaka Sakai

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  1. Michio Jimbo
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  2. Hidetaka Sakai
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Jimbo, M., Sakai, H. A q-analog of the sixth Painlevé equation. Lett Math Phys 38, 145–154 (1996). https://doi.org/10.1007/BF00398316

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  • DOI: https://doi.org/10.1007/BF00398316

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