Fractional approximations for the spherically symmetric Coulomb scattering wave functions

Abstract

An improved method is presented for obtaining fractional approximations. The fractional parameters are now solutions of a set of linear equations, and no nonlinear equations are involved as in the previous procedure. Excellent fractional approximations are presented for the Coulomb functions for η=0.5, 1, 2, and 5. The accuracy is sufficient for most of the computations where this function is used. The straightforward extension to higher orders is indicated.