  We consider the rationally extended exactly solvable Eckart potentials which
exhibit extended shape invariance property. These potentials are isospectral to
the conventional Eckart potential. The scattering amplitude for these
rationally ex- tended potentials is calculated analytically for the generalized
mth (m = 1, 2, 3, ...) case by considering the asymptotic behavior of the
scattering state wave functions which are written in terms of some new
polynomials related to the Jacobi polyno- mials. As expected, in the m = 0
limit, this scattering amplitude goes over to the scattering amplitude for the
conventional Eckart potential.
