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.
Eulerian polynomials as moments, via exponential Riordan arrays
Combinatorial polynomials as moments, Hankel transforms and exponential Riordan arrays
The Matrix Ansatz, Orthogonal Polynomials, and Permutations
![QR code for arXiv:1702.04007 [math.CO]](http://oss.arxitics.com/images/favicon.svg)