The Limiting Distributions of the Coefficients of the q-Derangement Numbers

William Y. C. Chen and David G.L. Wang

  Abstract:  We show that the distribution of the coefficients of the q-derangement numbers is asymptotically normal. We also show that this property holds for the q-derangement numbers of type B.

  AMS Classification:  05A15, 05A16, 05A30

  Keywords:  q-derangement numbers, flag major index, moment generating function, limiting distribution

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