Geodesic
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
Journal of integer sequences, Tome 14 (2011) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_2_a1/}
}
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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/