Eulerian polynomials as moments, via exponential Riordan arrays

Barry, Paul (2011) Eulerian polynomials as moments, via exponential Riordan arrays. Journal of Integer Sequences, 14. ISSN 1530-7638

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Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the ``descending power'' Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we characterize in terms of their three-term recurrence. We obtain the generating functions of the polynomial sequences in terms of continued fractions, and we also calculate their Hankel transforms

Item Type: Article
Departments or Groups: *NONE OF THESE*
Divisions: School of Science
Depositing User: Paul Barry
Date Deposited: 19 Nov 2012 15:46
Last Modified: 22 Aug 2016 10:26

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