Journal of Integer Sequences, Vol. 15 (2012), Article 12.8.7

On the Hurwitz Transform of Sequences

Paul Barry
School of Science
Waterford Institute of Technology


Based on classical concepts, we introduce and study the Hurwitz transform of sequences, relating this transform to the Hankel transform of sequences. We also define and study associated polynomials, including links to related families of orthogonal polynomials. Examples of these associated polynomials are given within the context of Riordan arrays.

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(Concerned with sequences A000007 A000045 A000108 A001006 A001791 A006720 A025262 A039598 A039599 A111418 A160702.)

Received July 26 2012; revised version received October 9 2012. Published in Journal of Integer Sequences, October 10 2012.

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