Making the usual assumption that the relatively cold matter within the cent
ral engine of an active galactic nucleus (or galactic black hole candidate)
is in the form of a relativistic accretion disk, we compute the composite
spectrum of the original disk plus a primary X-ray power-law source illumin
ating it from above, as well. as the reflected emission from the disk. All
special and general relativistic effects on both infalling photons and outg
oing photons are considered in a Schwarzschild geometry. The strength, shap
e, and broadening of the reflected spectrum depend on the direction of the
X-ray source relative to the disk and the observer's viewing angle. The re-
flected photons extract energy and angular momentum from the relativistical
ly rotating accretion disk and are beamed in the direction of the disk velo
city. The reflection hump could essentially disappear if viewed far from th
e symmetry axis because the X-ray photons are affected by gravity both appr
oaching and leaving the disk. This may produce a difference between X-ray s
pectra for Seyfert 1 and Seyfert 2 galaxies. For a given observation angle,
the reflection hump is most sensitive to the inclination of the source rel
ative to the accretion disk. Thus the spectral shape may also shed light on
the location of the primary X-ray source, which is probably either in a je
t or in a corona; however, additional computations involving distributed so
urces will be necessary before detailed comparisons with observations are f
easible.