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This article is cited in 6 scientific papers (total in 6 papers)
Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$
Nobutaka Nakazono Graduate School of Mathematics, Kyushu University, 744 Motooka, Fukuoka, 819-0395, Japan
Abstract:
We consider a $q$-Painlevé III equation and a $q$-Painlevé II equation arising from a birational representation of the affine Weyl group of type $(A_2+A_1)^{(1)}$. We study their hypergeometric solutions
on the level of $\tau$ functions.
Keywords:
$q$-Painlevé system; hypergeometric function; affine Weyl group; $\tau$ function.
Received: August 17, 2010; in final form October 8, 2010; Published online October 14, 2010
Citation:
Nobutaka Nakazono, “Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$”, SIGMA, 6 (2010), 084, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma542 https://www.mathnet.ru/eng/sigma/v6/p84
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Abstract page: | 175 | Full-text PDF : | 49 | References: | 44 |
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