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

中文翻译：

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广义欧拉概率分布

我们构造了一类广义q变形相干状态（G q -CS），并引入了欧拉概率分布的泛化，我们写下了概率生成函数。作为应用，我们讨论了这些 G q -CS 中关于许多参数的q -变形数算子的统计。