[en] The single-electron-line electron propagator of massless quantum electrodynamics is shown to be determined by the product of the Baker-Johnson function F₁ and the sum E₁+E₂ of coefficients appearing in the first two terms of the C=1, J=1 part of the Wilson expansion of the product psi(x)anti psi(γ) of electron fields. This statement is subject to the restriction that E₁ and E₂ are calculated in a special gauge in which massless quantum electrodynamics without electron creation and annihilation is conformal invariant. The possibility of determining the analyticity properties in the coupling constant of the product (E₁+E₂)F₁ from the propagator for an electron in a path-dependent field is discussed