Special Polynomials Associated with the Noumi-Yamada System of Type A₅⁽¹⁾

抄録

A determinant formula for algebraic solutions to the Noumi-Yamada system of type A₅⁽¹⁾ is presented. This expression is regarded as a special case of the universal characters. The entries of the determinant are given by the Laguerre polynomials. Degeneration to the rational solutions to the Painlevé IV equation is discussed.