The restricted Toda chain, exponential Riordan arrays, and Hankel transforms

Paul Barry

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We re-interpret results on the classification of Toda chain solutions given by Sheffer class orthogonal polynomials in terms of exponential Riordan arrays. We also examine associated Hankel transforms.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of Integer Sequences
Volume13
Issue number8
Publication statusPublished - 2010

Keywords

  • Charlier polynomial
  • Hankel determinant
  • Hankel transform
  • Hermite polynomial
  • Meixner polynomial
  • Moments
  • Orthogonal polynomials
  • Riordan array
  • Toda chain

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