  We use the tridiagonal representation approach to solve the radial
Schr\"odinger equation for the continuum scattering states of the Kratzer
potential. We do the same for a radial power-law potential with inverse-square
and inverse-cube singularities. These solutions are written as infinite
convergent series of Bessel functions with a discrete index. As physical
application of the latter solution, we treat electron scattering off a neutral
molecule with electric dipole and electric quadrupole moments.
