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For each positive integer g, we derive a completely integrable Hamiltonian system in g variables from the holonomic deformation of a linear differential equation with a regular singular point and an irregular singular point of Poincare rank g + 1. For g = 1, this Hamiltonian system is equivalent to the fourth Painleve equation.

ON THE HOLONOMIC DEFORMATION OF LINEAR DIFFERENTIAL EQUATIONS WITH A REGULAR SINGULAR POINT AND AN IRREGULAR SINGULAR POINT