On the rational solutions of {$q$}-Painlevé V equation

Tetsu Masuda

doi:nmj/1114631811

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Home > Journals > Nagoya Math. J. > Volume 169 > Article

2003 On the rational solutions of {$q$}-Painlevé V equation

Tetsu Masuda

Nagoya Math. J. 169: 119-143 (2003).

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Abstract

We give an explicit determinant formula for a class of rational solutions of a $q$-analogue of the Painlevé V equation. The entries of the determinant are given by the continuous $q$-Laguerre polynomials.