Eulerian-Dowling Polynomials as Moments, Using Riordan Arrays
Combinatorics
2017-02-15 v1
Abstract
Using the theory of exponential Riordan arrays, we show that the Eulerian-Dowling polynomials are moments for a paramaterized family of orthogonal polynomials. In addition, we show that the related Dowling and the Tanny-Dowling polynomials are also moments for appropriate families of orthogonal polynomials. We provide continued fraction generating functions and Hankel transforms for these polynomials.
Cite
@article{arxiv.1702.04007,
title = {Eulerian-Dowling Polynomials as Moments, Using Riordan Arrays},
author = {Paul Barry},
journal= {arXiv preprint arXiv:1702.04007},
year = {2017}
}
Comments
12 pages