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COMBINATORICS
2016

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New Eulerian Numbers of Type $D$

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New Eulerian Numbers of Type $D$

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We introduce a new array of type D Eulerian numbers, diﬀerent from that studied by Brenti, Chow and Hyatt. We ﬁnd in particular the recurrence relation, Worpitzky formula and the generating function. We also ﬁnd the probability distributions whose moments are Eulerian polynomials of type A, B and D.

Anna Borowiec, Wojciech Mlotkowski

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Added	31 Mar 2016
Updated	31 Mar 2016
Type	Journal
Year	2016
Where	COMBINATORICS
Authors	Anna Borowiec, Wojciech Mlotkowski

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