The generalized confluent supersymmetry algorithm: Representations and integral formulas

We extend the confluent version of the higher-order supersymmetry (SUSY) formalism to general linear differential equations of second order. Closed-form representations of transformation functions, their Wronskians, and of the general solutions to SUSY-transformed equations are derived. We use these results to construct formulas for resolving multiple integrals of special functions in terms of Wronskians.