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تسجيل مستخدم جديدAn Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painleve Equation (and Generalizations)
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Eric M. Rains
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We construct a family of second-order linear difference equations parametrized by the hypergeometric solution of the elliptic Painleve equation (or higher-order analogues), and admitting a large family of monodromy-preserving deformations. The solutions are certain semiclassical biorthogonal functions (and their Cauchy transforms), biorthogonal with respect to higher-order analogues of Spiridonovs elliptic beta integral.
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