Exponential Riordan arrays and permutation enumeration

Barry, Paul (2010) Exponential Riordan arrays and permutation enumeration. Journal of Integer Sequences, 13. 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
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 21 Jan 2011 13:02
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/1627

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