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
USA

Abstract:

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.


Full version:  pdf,    dvi,    ps,    latex    


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


Return to Journal of Integer Sequences home page