Truncated generalized coherent states

A generalization of the canonical coherent states a quantum harmonic oscillator has been performed by requiring conditions normalizability, continuity in label, and resolution identity operator with positive weight function. Relying on this approach, present scenario, are generalized over or finite dimensional Fock space oscillator. class is determined such that corresponding distributions number excitations depart from Poisson statistics according to combinations stretched exponential decays, power laws, logarithmic forms. The analysis Mandel parameter shows exhibit (non-classical) sub-Poissonian super-Poissonian excitations, based realization constraints. Mittag-Leffler Wright analyzed as particular cases.