2017/02/13 by Barry, Paul
#05A15 #11B83 #11C20 #15B36 #33C45 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1702.04007
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.