The Euler-Seidel matrix, Hankel matrices and moment sequences

Paul Barry, Aoife Hennessy

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

We study the Euler-Seidel matrix of certain integer sequences, using the binomial transform and Hankel matrices. For moment sequences, we give an integral representation of the Euler-Seidel matrix. Links are drawn to Riordan arrays, orthogonal polynomials, and Christoffel-Darboux expressions.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalJournal of Integer Sequences
Volume13
Issue number8
Publication statusPublished - 2010

Keywords

  • Euler-Seidel matrix
  • Hankel matrix
  • Integer sequence
  • Moment sequence
  • Orthogonal polynomial
  • Riordan array

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