Abstract: Firstly, an analytical solution for the one-dimensional discrete ordinates equation (Sn equations - an approximation of the one-dimensional linear Boltzmann transport equation) in cylindrical geometry and isotropic scattering is computed by the integral transform technique, namely the Hankel transform technique, dubbed as HTSN solution. The main idea relies on the application of the Hankel transform to the set of ordinary differential equations (Sn equations). Secondly, an outline for anisotropic problem in cylindrical geometry is addressed by means of a decomposition method.