Eulerian-Dowling Polynomials as Moments, Using Riordan Arrays
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polynomialsmomentsarrayseulerian-dowlingorthogonalriordanadditionappropriate
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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.
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