  We calculate the first Coulomb correction to the spectra of two processes:
the electron bremsstrahlung and electron-positron photoproduction in the
Coulomb field. We show that, in contrast to the results obtained in the Born
approximation and in the high-energy limit, the obtained corrections for these
two process are not related by the crossing symmetry substitutions. The found
corrections determine the leading contribution to the charge asymmetry in these
processes. We use modern multiloop methods based on the IBP reduction and on
the differential equations for master integrals. The results are presented in
terms of classical polylogarithms. We provide both the threshold and the
high-energy asymptotics of the obtained expressions and compare them with
available results.
