In this work we have found analytical relations between the standard parameterization of the leptón mixing matrix (in the PDG convention) and the one obtained after considering five texture zeros in lepton mass matrices inspired by the Ramond-Robert-Ross forms originally applied to the quark sector. The particular lepton mass matrices structures were obtained assuming Dirac mass terms and a normal neutrino mass ordering. The lepton mixing matrices obtained are compatible with the neutrino oscillations phenomenology. To determine the analytical relation between the two parameterizations, a Taylor expansion up to second order is used such that the three mixing angles, and the Jarlskoginvariant, are function of the free model parameters that come from the particular form of the chosen texture.