Hypergeometric Solutions to the Symmetric q-Painlevé Equations

Hypergeometric Solutions to the Symmetric q-Painlevé Equations

We consider the symmetric q-Painleve equations derived from the birational representation of affine Weyl groups by applying the projective reduction and construct the hypergeometric solutions. Moreover, we discuss continuous limits of the symmetric q-Painleve equations to Painleve equations together...

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Veröffentlicht in:International mathematics research notices 2015-01, Vol.2015 (4), p.1101-1140
Hauptverfasser: Kajiwara, Kenji, Nakazono, Nobutaka
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Group theory
Mathematical analysis
Reduction
Representations
Symmetry
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Beschreibung
Zusammenfassung:We consider the symmetric q-Painleve equations derived from the birational representation of affine Weyl groups by applying the projective reduction and construct the hypergeometric solutions. Moreover, we discuss continuous limits of the symmetric q-Painleve equations to Painleve equations together with their hypergeometric solutions.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnt237