Riordan arrays, orthogonal polynomials as moments, and Hankel transforms

Details Riordan arrays, orthogonal polynomials as moments, and Hankel transforms Riordan arrays, orthogonal polynomials as moments, and Hankel transforms

2011-02-04

arxiv.org/abs/1102.0921v1

Mathematics

Combinatorics

37 pages

Scientific paper

Taking the examples of Legendre and Hermite orthogonal polynomials, we show
how to interpret the fact that these orthogonal polynomials are moments of
other orthogonal polynomials in terms of their associated Riordan arrays. We
use these means to calculate the Hankel transforms of the associated polynomial
sequences.

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