On WKB analysis of higher order Painlevé equations with a large parameter

We announce a generalization of the reduction theorem for 0parameter solutions of the traditional (i.e., second order) Painlevé equations with a large parameter to those of some higher order Painlevé equations, i.e., each member of the Painleve hierarchies (PJ) (J =I, II-1 and II-2) discussed in [KKNT]. Thus the scope of applicability of the reduction theorem ([KT1], [KT2]) has been substantially enlarged; only six equations were covered by our previous result, while the result reported here applies to infinitely many equations.