Combinatorial polynomials as moments, Hankel transforms and exponential Riordan arrays

Paul Barry

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In the case of two combinatorial polynomials (the Bell polynomials and the Eulerian polynomials), we show that they can exhibited as moments of paramaterized families of orthogonal polynomials, and hence derive their Hankel transforms. Exponential Riordan arrays are the main vehicles used for this.
Original languageEnglish
Pages (from-to)11.6.7
JournalJournal of Integer Sequences
Volume14
Issue number6
Publication statusPublished - 2011

Keywords

  • Exponential polynomial
  • Exponential riordan array
  • Hankel determinant
  • Hankel transform
  • Integer sequence
  • Moments
  • Orthogonal polynomials
  • Touchard polynomial

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