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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 084, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.084 (Mi sigma542) 		 
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
Full-text PDF (279 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2010.084
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
Bibliographic databases:
Document Type: Article
MSC: 33D05; 33D15; 33E17; 39A13
Language: English
Citation: Nobutaka Nakazono, “Hypergeometric $\tau$ Functions of the $q$-Painlevé Systems of Type $(A_2+A_1)^{(1)}$”, SIGMA, 6 (2010), 084, 16 pp.
Citation in format AMSBIB
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