Comparing two matrices of generalized moments defined by continued fraction expansions

Paul Barry

Research output: Contribution to journalArticlepeer-review

Abstract

We study two matrices N and M defined by the parameters of equivalent S- and J-continued fraction expansions, and compare them by examining the product N-1M. Using examples based on the Catalan numbers, the little Schr¨oder numbers, and powers of q, we indicate that this matrix product is an object worthy of study. In the case of the little Schr¨oder numbers, we find that the matrix N has an interleaved structure based on two Riordan arrays.

Original languageEnglish
Article number14.5.1
JournalJournal of Integer Sequences
Volume17
Issue number5
Publication statusPublished - 22 Mar 2014

Keywords

  • Hankel transform
  • Jacobi continued fraction
  • Matrix
  • Orthogonal polynomials
  • Production matrix
  • Riordan array
  • Stieltjes continued fraction

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