PageHeader : Funkcialaj Ekvacioj, 44 (2001) 291-307 Title : Determinant Formulas for the Toda and Discrete Toda Equations AuthorInfo : By AuthorInfo : Kenji KAJIWARA1, Tetsu MASUDA2, Masatoshi NoUMI2, Yasuhiro OHTA3 and AuthorInfo : Yasuhiko YAMADA2 AuthorInfo : (Doshisha University1, Kobe University2 and Hiroshima University3, Japan) section : 1. Introduction section : 2. Determinant formulas section : 3. Applications to Painleve equations section : 4. Derivation of the Toda equations subsection : 4.1. The second Painleve equation: $P_{\mathit{1}\mathit{1}}$ subsection : 4.2. The third Painleve equation: $P_{III}$ subsection : 4.3. The fourth Painleve equation: $P_{IV}$ subsection : 4.4. The fifth Painleve equation: $P_{V}$ subsection : 4.5. The sixth Painleve equation: $P_{VI}$ section : References