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arxiv: 1602.03469 · v2 · pith:L72PTDOLnew · submitted 2016-02-10 · 🧮 math.CO · math.PR

Generating functions for purely crossing partitions

classification 🧮 math.CO math.PR
keywords generatingcrossingfunctionfunctionspartitionspurelyasymptoticbell
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The generating function for the number of purely crossing partitions of {1,...,n} is found in terms of the generating function for Bell numbers. Further results about generating functions for asymptotic moments of certain random Vandermonde matrices are derived.

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