Second-order second-degree Painleve equations related with Painleve I-VI equations and Fuchsian-type transformations

摘要

One-to-one correspondence between the Painleve I-VI equations and certain second-order second-degree equations of Painleve type is investigated. The transformation between the Painleve equations and second-order second-degree equations is the one involving the Fuchsian-type equation.