Exponential Riordan arrays and permutation enumeration

Paul Barry

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

e show that the generating function of the symmetric group with respect to five particular statistics gives rise to an exponential Riordan array, whose inverse is the coefficient array of the associated orthogonal polynomials. This also provides us with an LDU factorization of the Hankel matrix of the associated moments.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Integer Sequences
Volume13
Issue number9
Publication statusPublished - 2010

Keywords

  • Exponential Riordan array
  • Hankel determinant
  • Hankel transform
  • Integer sequence
  • Moments
  • Orthogonal polynomials
  • Permutation

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