Probability Distributions attached to generalised Bergman Spaces on the Poincaré Disk

Nour Eddine Askour, Zouhair Mouayn

Published 2010-03-23Version 1

A family of probability distributions attached to a class of generalized weighted Bergman spaces on the Poincar\'e disk are introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As application, photon number statistics related to coherent states under consideration are discussed.