Riordan arrays, orthogonal polynomials as moments, and Hankel transforms

Paul Barry

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials in terms of their associated Riordan arrays. We use these means to calculate the Hankel transforms of the associated polynomial sequences.
Original languageEnglish
JournalJournal of Integer Sequences
Volume14
Issue number2
Publication statusPublished - 2011

Keywords

  • Hankel determinant
  • Hankel transform
  • Hermite polynomials
  • Integer sequence
  • Legendre polynomials
  • Moments
  • Orthogonal polynomials
  • Riordan array

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