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
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Sprache:eng
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Construction
Group theory
Mathematical analysis
Reduction
Representations
Symmetry
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container_title International mathematics research notices
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creator Kajiwara, Kenji
Nakazono, Nobutaka
description 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.
doi_str_mv 10.1093/imrn/rnt237
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source Oxford University Press Journals All Titles (1996-Current)
subjects Construction
Group theory
Mathematical analysis
Reduction
Representations
Symmetry
title Hypergeometric Solutions to the Symmetric q-Painlevé Equations
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