Journal of Integer Sequences, Vol. 10 (2007), Article 07.7.3

Transformations Preserving the Hankel Transform

Christopher French
Department of Mathematics and Statistics
Grinnell College
Grinnell, IA 50112


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.

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Received April 20 2007; revised version received June 20 2007. Published in Journal of Integer Sequences, July 4 2007.

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