We construct a class of generalized q-deformed coherent states (Gq-CS) and we introduce generalization the Euler probability distribution for which write down generating function. As application, discuss statistics number operator in these Gq-CS with respect to many parameters.

the probability density functions fitting to the discrete probability functions has always been needed, and very important. this paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. the main key in these fittings is the use of the derivative concept and common differential ...