Eigenvalues of the Schrodinger equation with Coulomb potentials plus linear and harmonic radial terms

Analytic approximations for the eigenvalues have been obtained using the two-point quasifractional approximants method. Here we extend and generalize previous work where the method was applied to determine eigenenergies of two-dimensional Coulomb potentials in the presence of a magnetic field of arbitrary strength. We have also shown the advantage of our results with respect to other calculations using the shifted 1/N method or Pade approximants.