  While dealing with a class of generalized Bergman spaces on the unit ball, we
construct for each of these spaces a set of coherent states to apply a coherent
states quantization method. This provides us with another way to recover the
Berezin transforms attached to these spaces. Finally, a new formula
representing these transforms a functions of the Laplace-Beltrami operator is
established in terms ofWilson polynomials by using the Fourier-Helgason
transform.
