On a transformation of riordan moment sequences

Paul Barry

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number18.7.1
JournalJournal of Integer Sequences
Volume21
Issue number7
Publication statusPublished - 2018

Keywords

  • Catalan number
  • Eulerian triangle
  • Exponential generating function
  • Moment sequence
  • Narayana trian-gle
  • Orthogonal polynomial
  • Riordan array
  • Sumudu transform

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