Combinatorial polynomials as moments, Hankel transforms and exponential Riordan arrays

Barry, Paul Combinatorial polynomials as moments, Hankel transforms and exponential Riordan arrays. Journal of Integer Sequences, 14. 11.6.7. ISSN 1530-7638

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Official URL: https://cs.uwaterloo.ca/journals/JIS/

Abstract

In the case of two combinatorial polynomials (the Bell polynomials and the Eulerian polynomials), we show that they can exhibited as moments of paramaterized families of orthogonal polynomials, and hence derive their Hankel transforms. Exponential Riordan arrays are the main vehicles used for this.

Item Type: Article
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 19 Nov 2012 15:45
Last Modified: 22 Aug 2016 10:26
URI: http://repository.wit.ie/id/eprint/2113

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