Application of Fa´a Di Bruno’s Formula in the Construction of Combinatorial Identities

Research output: Journal ArticleArticlepeer-review

Abstract

Chou, Hsu, and Shiue in [3] use Fa`a di Bruno’s formula give a class of composite series expansions. In this paper, we apply those expansions to construct a class of identities for Catalan numbers, large Schroder numbers, small Schroder numbers, parametric Catalan numbers, Stirling numbers, binomial numbers, some other recursive
number sequences, and recursive polynomial sequences.
Original languageAmerican English
JournalJournal of Combinatorics and Number Theory
Volume7
StatePublished - 2015

Keywords

  • Fa´a di Bruno’s Formula
  • Catalan numbers
  • large Schr¨oder numbers
  • small Schr¨oder numbers
  • Stirling numbers
  • binomial numbers
  • recursive number sequences
  • generalized Gegenbauer-Humbert polynomials

Disciplines

  • Mathematics

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