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While dealing with a class of generalized Bergman spaces on the unit ball, weconstruct for each of these spaces a set of coherent states to apply a coherentstates quantization method. This provides us with another way to recover theBerezin transforms attached to these spaces. Finally, a new formularepresenting these transforms a functions of the Laplace-Beltrami operator isestablished in terms ofWilson polynomials by using the Fourier-Helgasontransform.

Coherent states quantization of generalized bergman spaces on the unit ball of cn with a new formula for their associated berezin transforms