On a class of algebraic solutions to Painlevé VI equation, its determinant formula and coalescence cascade
نویسنده
چکیده
A determinant formula for a class of algebraic solutions to Painlevé VI equation (PVI) is presented. This expression is regarded as a special case of the universal characters. The entries of the determinant are given by the Jacobi polynomials. Degeneration to the rational solutions of PV and PIII is discussed by applying the coalescence procedure. Relationship between Umemura polynomials associated with PVI and our formula is also discussed.
منابع مشابه
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تاریخ انتشار 2002