  The inclusion of nonadiabatic corrections to the electron-phonon interaction
leads to a strong momentum dependence in the generalized Eliashberg equations
beyond Migdal's limit. For a s-wave symmetry of the order parameter, this
induced momentum dependence leads to an enhancement of Tc when small momentum
transfer is dominant. Here we study how the d-wave symmetry affects the above
behavior. We find that the nonadiabatic corrections depend only weakly on the
symmetry of the order parameter provided that only small momentum scatterings
are allowed for the electron-phonon interaction. In this situation, We show
that also for a d-wave symmetry of the order parameter, the nonadiabatic
corrections enhance Tc. We also discuss the possible interplay and crossover
between s- and d-wave depending on the material's parameters.
