Geodesic
Transformations preserving the Hankel transform
Journal of integer sequences, Tome 10 (2007) no. 7
We classify all polynomial transformations of integer sequences which preserve the Hankel transform, thus generalizing examples due to Layman and Spivey Steil. We also show that such transformations form a group under composition.
Keywords: Hankel transform, binomial transform 
@article{JIS_2007__10_7_a6,
     author = {French,  Christopher},
     title = {Transformations preserving the {Hankel} transform},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {7},
     zbl = {1146.11012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_7_a6/}
}
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French,  Christopher. Transformations preserving the Hankel transform. Journal of integer sequences, Tome 10 (2007) no. 7. http://geodesic.mathdoc.fr/item/JIS_2007__10_7_a6/