## Nagoya Mathematical Journal

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

Tetsu Masuda

#### 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.

#### Article information

Source
Nagoya Math. J., Volume 169 (2003), 119-143.

Dates
First available in Project Euclid: 27 April 2005

https://projecteuclid.org/euclid.nmj/1114631811

Mathematical Reviews number (MathSciNet)
MR1962525

Zentralblatt MATH identifier
1051.34075

#### Citation

Masuda, Tetsu. On the rational solutions of {$q$}-Painlevé V equation. Nagoya Math. J. 169 (2003), 119--143. https://projecteuclid.org/euclid.nmj/1114631811

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