On a transformation of riordan moment sequences

Barry, Paul (2018) On a transformation of riordan moment sequences. Journal of Integer Sequences, 21 (7). ISSN 1530-7638

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We define a transformation that associates certain exponential moment sequences with ordinary moment sequences in a natural way. The ingredients of this transformation are series reversion, the Sumudu transform (a variant of the Laplace transform), and the inverting of generating functions. This transformation also has a simple interpretation in terms of continued fractions. It associates lattice path objects with permutation objects, and in particular it associates the Narayana triangle with the Eulerian triangle.

Item Type: Article
Additional Information: Publisher Copyright: © 2018, University of Waterloo. All rights reserved.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:02
Last Modified: 08 Feb 2023 00:01
URI: http://repository-testing.wit.ie/id/eprint/3673

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