The partner Bessel functions are given by . The supersymmetry (SUSY) parameter determines the transition beween Bessel functions of different order, from to for arbitrary .

is derived from a supersymmetric (SUSY) type of factorization of Bessel's equation, which also applies to other Sturm–Liouville equations. The partner Bessel functions show an interesting and unusual SUSY behavior: the SUSY parameter γ links these functions to a pair of Bessel functions differing by two orders

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Since , this SUSY parameter takes the partner Bessel functions from to .

In the snapshots you can see the shape of the partner Bessel functions as they evolve from one order to another for different values of the SUSY parameter.