Riordan Arrays, Orthogonal Polynomials as Moments, and Hankel Transforms
School of Science
Waterford Institute of Technology
Taking the examples of Legendre and Hermite orthogonal polynomi
als, we show how to interpret the fact that these
orthogonal polynomials are moments of other orthogonal polynomials in terms of t
heir associated Riordan arrays. We use these means to
calculate the Hankel transforms of the associated polynomial sequences.
Full version: pdf,
(Concerned with sequences
Received May 14 2010;
revised version received December 6 2010; January 31 2011.
Published in Journal of Integer Sequences, February 19 2011.
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