  W bosons can be produced in the channels e+- p --> W+- + X at HERA thus
allowing anomalous trilinear couplings among the gauge bosons to be probed. We
discuss the next-to-leading order (NLO) QCD corrections to the photoproduction
of W bosons with finite transverse momentum at HERA. The higher-order QCD
corrections reduce the factorization scale dependence significantly and modify
the leading-order (LO) cross sections by +- O(10%).
