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.

Topics
Multivariable calculus, Numerical methods, Generating functions, Graphene, Bosons, Particle symmetry, Chemical compounds, Position-dependent mass, Schrodinger equations, Fermi-Dirac statistics
© 2018 Author(s).
2018
Author(s)
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