Geodesic
Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays
Journal of integer sequences, Tome 14 (2011) no. 6.

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

Summary: 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. Full version: pdf, dvi, ps, latex
Classification : 11B83, 05A15, 11C20, 15B05, 15B36, 42C05
Keywords: integer sequence, exponential riordan array, touchard polynomial, exponential polynomial, moments, orthogonal polynomials, Hankel determinant, Hankel transform 
@article{JIS_2011__14_6_a6,
     author = {Barry, Paul},
     title = {Combinatorial polynomials as moments, {Hankel} transforms, and exponential {Riordan} arrays},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {14},
     number = {6},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_6_a6/}
}
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Barry, Paul. Combinatorial polynomials as moments, Hankel transforms, and exponential Riordan arrays. Journal of integer sequences, Tome 14 (2011) no. 6. http://geodesic.mathdoc.fr/item/JIS_2011__14_6_a6/