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      A Note on d-Hankel Transforms, Continued Fractions, and Riordan Arrays

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          Abstract

          The Hankel transform of an integer sequence is a much studied and much applied mathematical operation. In this note, we extend the notion in a natural way to sequences of d integer sequences. We explore links to generalized continued fractions in the context of d-orthogonal sequences.

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          Production Matrices and Riordan Arrays

          Emeric Deutsch, Luca Ferrari, Simone Rinaldi (2009)
          Article 0 comments Cited 15 times – based on 0 reviews     Review now
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            Publication date Created: 2017-02-13
            Article
            ArXiV ID: 1702.04011
            SO-VID: fb368963-f8fe-4b03-9cd6-34995b5d0224
            License:

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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            ACM classes 15B36, 33C45, 11B83, 11C20, 05A15
            Comments 16 pages
            Categories math.CO

            ScienceOpen disciplines: Combinatorics
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            ScienceOpen disciplines: Combinatorics

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