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On the rational solutions of q-Painlevé V equation

Published online by Cambridge University Press:  22 January 2016

Tetsu Masuda
Tetsu Masuda*
Affiliation:
Department of Mathematics, Kobe University, Rokko, Kobe, 657-8501, Japan, masuda@math.kobe-u.ac.jp
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Abstract

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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.

Keywords

33E1734M55

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 119 - 143
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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