2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211681We study the gauge covariance of the fermion propagator in Maxwell-Chern-Simons planar quantum electrodynamics (QED$_3$) considering four-component spinors with parity-even and parity-odd mass terms both for fermions and photons. Starting with its tree level expression in the Landau gauge, we derive a non perturbative expression for this propagator in an arbitrary covariant gauge by means of its Landau-Khalatnikov-Fradkin transformation (LKFT). We compare our findings in the weak coupling regime with the direct one-loop calculation of the two-point Green function and observe perfect agreement up to a gauge independent term. We also reproduce results derived in earlier works as special cases of our findings.13 pages, 4 figures. Published version. V2, References correctedHigh Energy Physics - PhenomenologyMesoscale and Nanoscale PhysicsHigh Energy Physics - Theorytext