  We study the Hankel transforms of sequences whose generating function can be
expressed as a C-fraction. In particular, we relate the index sequence of the
non-zero terms of the Hankel transform to the powers appearing in the monomials
defining the C-fraction. A closed formula for the Hankel transforms studied is
given. As every power-series can be represented by a C-fraction, this gives in
theory a closed form formula for the Hankel transform of any sequence. The
notion of multiplicity is introduced to differentiate between Hankel
transforms.
