On the algebraic solutions of the Painleve-III (D7) equation
Abstract
The D7 degeneration of the Painleve-III equation has solutions that are rational functions of x1/3 for certain parameter values. We apply the isomonodromy method to obtain a Riemann-Hilbert representation of these solutions. We demonstrate the utility of this representation by analyzing rigorously the behavior of the solutions in the large parameter limit.
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