  The scattering state solutions of the Klein-Gordon equation with equal scalar
and vector Varshni, Hellmann and Varshni-Shukla potentials for any arbitrary
angular momentum quantum number l are investigated within the framework of the
functional analytical method using a suitable approximation. The asymptotic
wave functions, approximate scattering phase shifts, normalization constants
and bound state energy equations were obtained. The non-relativistic limits of
the scattering phase shifts and the bound states energy equations for the three
potentials were also obtained. Our bound states energy equations are in
excellent agreement with the available ones in the literature. Our numerical
and graphical results indicate the dependence of phase shifts on the screening
parameter \b{eta}, the potential parameter b and angular momentum quantum
number l.
