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The gap and the renormalization functions of Ba1−xKxBiO have been numerically analyzed by means of the simplified equations of the generalized Hartree–Fock (GHF) theory. Measured functions and parameters have been used as inputs to the GHF integral equations, and all the relevant functions have been iterated self-consistently over the large energy range of 9 eV. The results show a reasonably large gap function which does not reverse its sign below 2 eV, despite static Coulomb repulsion and despite the low density of states at the Fermi level. It is also shown that these results are inconsistent with the conventional Eliashberg equations.