|XXXIV Workshop on Geometric Methods in Physics||28.06-4.07.2015|
Participants of Workshop
Participants of School
|Registration||Photos||Previous Proceedings Volumes||Previous Workshops|
David J. Fernández
Painlevé equations and SUSY QM
An algorithm to generate solutions to the Painlevé IV and V equation will be introduced, which is based on supersymmetric quantum mechanics applied to the harmonic and radial oscillators respectively. The corresponding solutions turn out to be expressed in terms of confluent hypergeometric functions, which include some solution hierarchies associated to more specific special functions they are related with.