Geodesic
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms
Journal of integer sequences, Tome 13 (2010) no. 8.

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

Summary: We re-interpret results on the classification of Toda chain solutions given by Sheffer class orthogonal polynomials in terms of exponential Riordan arrays. We also examine associated Hankel transforms.
Classification : 42C05, 11B83, 11C20, 15B05, 15B36, 33C45
Keywords: Toda chain, orthogonal polynomials, moments, Hermite polynomial, charlier polynomial, meixner polynomial, riordan array, Hankel determinant, Hankel transform 
@article{JIS_2010__13_8_a5,
     author = {Barry, Paul},
     title = {The restricted {Toda} chain, exponential {Riordan} arrays, and {Hankel} transforms},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {13},
     number = {8},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a5/}
}
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Barry, Paul. The restricted Toda chain, exponential Riordan arrays, and Hankel transforms. Journal of integer sequences, Tome 13 (2010) no. 8. http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a5/