  We examine resonantly damped kink modes in straight coronal slabs, paying
special attention to the effects of the formulation for the transverse density
distribution ("profile"). We work in the framework of pressure-less,
gravity-free, resistive magnetohydrodynamics, and we adopt the
dissipative-eigenmode perspective. The density profile is restricted to be
one-dimensional, but nonetheless allowed to take a generic form characterized
by a continuous transition layer connecting a uniform interior to a uniform
exterior. A dispersion relation (DR) is derived in the thin-boundary limit,
yielding analytical expressions for the eigenfrequencies that generalize known
results in various aspects. We find that the analytical rather than the
numerical solutions to the thin-boundary DR serve better the purpose for
validating our self-consistent resistive solutions. More importantly, the
eigenfrequencies are found to be sensitive to profile specifications, the ratio
of the imaginary to the real part readily varying by a factor of two when one
profile is used in place of another. Our eigenmode computations are also
examined in the context of impulsively excited kink waves, suggesting the
importance of resonant absorption for sufficiently oblique components when the
spatial scale of the exciter is comparable to the slab half-width.
