Barry, Paul (2011) Eulerian polynomials as moments, via exponential Riordan arrays. Journal of Integer Sequences, 14. ISSN 1530-7638
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Official URL: https://cs.uwaterloo.ca/journals/JIS/
Abstract
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 |
| URI: | https://repository.wit.ie/id/eprint/2107 |
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