Closed-form expression for Hankel determinants of the Narayana polynomials

Marko D. Petković, Paul Barry, Predrag Rajković

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana and shifted Narayana polynomials.

Original languageEnglish
Pages (from-to)39-57
Number of pages19
JournalCzechoslovak Mathematical Journal
Volume62
Issue number1
DOIs
Publication statusPublished - Mar 2012

Keywords

  • Hankel transform
  • Narayana numbers
  • orthogonal polynomials

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