On the isomonodromic deformation of certain Pfaffian systems associated to Appell's systems \((F_ 2)\), \((F_ 3)\)
Appell's systems are partial differential systems generalizing the hypergeometric equation to the case of two independent variables. The author rewrites two of the four existing Appell's systems as completely integrable Pfaffian systems on the complex projective plane and deduces equations for the coefficients of these systems which describe their isomonodromic deformations.
scientific article; zbMATH DE number 4131323