Geodesic
The Hankel transform and some of its properties
Journal of integer sequences, Tome 4 (2001) no. 1
The Hankel transform of an integer sequence is defined and some of its properties discussed. It is shown that the Hankel transform of a sequence S is the same as the Hankel transform of the binomial or invert transform of S. If H is the Hankel matrix of a sequence and H = LU is the LU decomposition of H, the behavior of the first super-diagonal of U under the binomial or invert transform is also studied. This leads to a simple classification scheme for certain integer sequences.
Classification : 15B57, 11B83, 11C20
Mots-clés : Hankel matrices, matrices of integers, special sequences, Hankel transforms 
@article{JIS_2001__4_1_a2,
     author = {Layman,  John W.},
     title = {The {Hankel} transform and some of its properties},
     journal = {Journal of integer sequences},
     year = {2001},
     volume = {4},
     number = {1},
     zbl = {0978.15022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a2/}
}
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Layman,  John W. The Hankel transform and some of its properties. Journal of integer sequences, Tome 4 (2001) no. 1. http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a2/