  The summation of the partial wave series for Coulomb scattering amplitude,
$f^C(\theta)$ is avoided because the series is oscillatorily and divergent.
Instead, $f^C(\theta)$ is obtained by solving the Schr{\"o}dinger equation in
parabolic cylindrical co-ordinates which is not a general method. Here, we show
that a reconstructed series, $(1-\cos\theta) ^2f^C(\theta)$, is both convergent
and analytically summable.
