Eigenvalues of the Lorentz Fokker–Planck equation

A new set of orthogonal polynomials are developed for which the convergence of the eigenvalues of the Lorentz Fokker–Planck equation is particularly rapid. The rate of convergence with the new functions is shown to be very much faster than the rate of convergence with the Laguerre polynomials, traditionally employed in kinetic theory problems.