Scattering amplitudes for the rationally extended symmetric complex potentials

In this paper, we consider the rational extensions of two different classes of symmetric complex potentials namely the asymptotically vanishing Scarf II and asymptotically non-vanishing Rosen-Morse II [ RM-II] and obtain the accompanying bound state eigenfunctions in terms of the exceptional Jacobi polynomials and a certain class of orthogonal polynomials. By considering the asymptotic behavior of the exceptional polynomials, we also derive the reflection and transmission amplitudes for them and discuss the various novel properties of the corresponding amplitudes. * Scattering amplitudes for rationally extended PT symmetric (REPTS) Scarf II potentials have been calculated for the first time. * Scattering amplitudes for REPTS Rosen-Morse II potentials have calculated for the first time. * Bound state solutions for REPTS potentials are constructed in terms of exceptional orthogonal polynomials (EOPs). * Novel features of scattering amplitudes for REPTS potentials have been discussed.