Construction of Hypergeometric Solutions to the q-Painlevé Equations

Details Construction of Hypergeometric Solutions to the q-Painlevé Equations Construction of Hypergeometric Solutions to the q-Painlevé Equations

2005-01-31

arxiv.org/abs/nlin/0501051v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

Hypergeometric solutions to the q-Painlev\'e equations are constructed by
direct linearization of disrcrete Riccati equations. The decoupling factors are
explicitly determined so that the linear systems give rise to q-hypergeometric
equations.

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