Geodesic
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
Journal of integer sequences, Tome 14 (2011) no. 2
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.
Classification : 42C05, 11B83, 11C20, 15B05, 15B36, 33C45
Keywords: Legendre polynomials, Hermite polynomials, integer sequence, orthogonal polynomials, moments, riordan array, Hankel determinant, Hankel transform 
@article{JIS_2011__14_2_a1,
     author = {Barry,  Paul},
     title = {Riordan arrays, orthogonal polynomials as moments, and {Hankel} transforms},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {2},
     zbl = {1213.42086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a1/}
}
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%A Barry,  Paul
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%J Journal of integer sequences
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Barry,  Paul. Riordan arrays, orthogonal polynomials as moments, and Hankel transforms. Journal of integer sequences, Tome 14 (2011) no. 2. http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a1/