  The Myers-Perry black holes are higher-dimensional generalizations of the
usual (3+1)-dimensional rotating Kerr black hole. They are of considerable
interest in Kaluza-Klein models, specifically within the context of brane-world
versions thereof. In the present article we shall consider the greybody factors
associated with scalar field excitations of the Myers-Perry spacetimes, and
develop some rigorous bounds on these greybody factors. These bounds are of
relevance for characterizing both the higher-dimensional Hawking radiation, and
the super-radiance, that is expected for these spacetimes.
