Journal of Integer Sequences, Vol. 14 (2011), Article 11.6.7

Combinatorial Polynomials as Moments, Hankel Transforms, and Exponential Riordan Arrays

Paul Barry
School of Science
Waterford Institute of Technology


In the case of two combinatorial polynomials, we show that they can exhibited as moments of paramaterized families of orthogonal polynomials, and hence derive their Hankel transforms. Exponential Riordan arrays are the main vehicles used for this.
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(Concerned with sequences A000045 A000142 A000262 A007318 A008277 A008292 A021009 A094587 A094816 A111596 A111884.)

Received July 1 2010; revised version received May 31 2011. Published in Journal of Integer Sequences, June 10 2011.

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