Physics – Mathematical Physics
Scientific paper
2001-05-23
Physics
Mathematical Physics
AMS-TeX, 11 pages
Scientific paper
10.1016/S0375-9601(02)00784-3
The solutions of the discrete Painlev\'e equation I were constructed in terms
of elliptic and hyperelliptic $\psi$ functions for algebraic curves of genera
one and two. For the case of genus two, there appear higher order difference
equations which naturally contain the discrete Painlev\'e equation I as a
special case.
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