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Hypergeometric solutions to the q-Painlevé equations.

Authors :
Kajiwara, K.
Masuda, T.
Noumi, M.
Ohta, Y.
Yamada, Y.
Source :
IMRN: International Mathematics Research Notices. 2004, Vol. 2004 Issue 47, p2497-2521. 25p.
Publication Year :
2004

Abstract

Hypergeometric solutions to seven q-Painlevé equations in Sakai's classification are constructed. Geometry of plane curves is used to reduce the q-Painlevé equations to the three-term recurrence relations for q-hypergeometric functions. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HYPERGEOMETRIC functions
*PAINLEVE equations
*NONLINEAR differential equations
*PLANE curves
*WEYL groups

Details

Language :
English
ISSN :
10737928
Volume :
2004
Issue :
47
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
80103172
Full Text :
https://doi.org/10.1155/S1073792804140919
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