Exponential Riordan arrays and permutation enumeration

Barry, Paul (2010) Exponential Riordan arrays and permutation enumeration. Journal of Integer Sequences, 13 (9). pp. 1-16. ISSN 1530-7638

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Abstract

e show that the generating function of the symmetric group with respect to five particular statistics gives rise to an exponential Riordan array, whose inverse is the coefficient array of the associated orthogonal polynomials. This also provides us with an LDU factorization of the Hankel matrix of the associated moments.

Item Type:	Article
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User:	Admin SSL
Date Deposited:	17 Oct 2022 16:06
Last Modified:	16 Aug 2023 23:00
URI:	http://repository-testing.wit.ie/id/eprint/3537

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