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arxiv: 1204.0294 · v2 · pith:POQMVIIGnew · submitted 2012-04-02 · 🧮 math-ph · math.AG· math.MP

Pad\'e interpolation for elliptic Painlev\'e equation

classification 🧮 math-ph math.AGmath.MP
keywords ellipticequationpainlevinterpolationdeterminantexplicitformformulae
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An interpolation problem related to the elliptic Painlev\'e equation is formulated and solved. A simple form of the elliptic Painlev\'e equation and the Lax pair are obtained. Explicit determinant formulae of special solutions are also given.

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