Geodesic
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms
Journal of integer sequences, Tome 13 (2010) no. 8
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},
     year = {2010},
     volume = {13},
     number = {8},
     zbl = {1192.42015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a5/}
}
TY  - JOUR
AU  - Barry,  Paul
TI  - The restricted Toda chain, exponential Riordan arrays, and Hankel transforms
JO  - Journal of integer sequences
PY  - 2010
VL  - 13
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a5/
LA  - en
ID  - JIS_2010__13_8_a5
ER  - 
%0 Journal Article
%A Barry,  Paul
%T The restricted Toda chain, exponential Riordan arrays, and Hankel transforms
%J Journal of integer sequences
%D 2010
%V 13
%N 8
%U http://geodesic.mathdoc.fr/item/JIS_2010__13_8_a5/
%G en
%F JIS_2010__13_8_a5
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/