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arXiv · 1409.3932

The Padé interpolation method applied to $q$-Painlevé equations

Hidehito Nagao
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Abstract

We establish interpolation problems related to all the $q$-Painlevé equations of types from $E_7^{(1)}$ to $(A_2+A_1)^{(1)}$. By solving those problems, we can derive the evolution equations, the scalar Lax pairs and the determinant formulae of special solutions for the corresponding $q$-Painlevé equations.

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Hidehito Nagao. 2015-03-10. The Padé interpolation method applied to $q$-Painlevé equations. https://doi.org/10.1007/s11005-015-0749-y

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