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The Limiting Distribution of the q-Derangement Numbers
limiting distribution q-derangement number flag major index moment generating function
2014/6/3
We prove the normality of the limiting distribution of the coefficients of the q-derangement numbers of type B based on the formula of Foata and Han that contains a parameter z. Setting the parameter ...
The Limiting Distribution of the Coefficients of the q-Catalan Numbers
Bernoulli number q-Catalan number unimodality log-concavity moment generating function
2014/6/3
We show that the limiting distributions of the coefficients of the q-Catalan numbers and the generalized q-Catalan numbers are normal. Despite the fact that these coefficients are not unimodal for sma...