  We explore the dependence of fermion propagators on the covariant gauge
fixing parameter in quantum electrodynamics (QED) with the number of spacetime
dimensions kept explicit. Gauge covariance is controlled by the the
Landau-Khalatnikov-Fradkin transformation (LKFT). Utilizing its group nature,
the LKFT for a fermion propagator in Minkowski space is solved exactly. The
special scenario of 3D is used to test claims made for general cases. When
renormalized correctly, a simplification of the LKFT in 4D has been achieved
with the help of fractional calculus.
