Elliptic and q-analogs of the Fibonomial numbers

Cesar Ceballos Lopez, Nantel Bergeron, Josef Küstner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In 2009, Sagan and Savage introduced a combinatorial model for the Fibonomial numbers, integer numbers that are obtained from the binomial coefficients by replacing each term by its corresponding Fibonacci number. In this paper, we present a combinatorial description for the q-analog and elliptic analog of the Fibonomial numbers. This is achieved by introducing some q-weights and elliptic weights to a slight modification of the combinatorial model of Sagan and Savage.
Original languageEnglish
Article number076
Pages (from-to)1-16
Number of pages16
JournalSymmetry, Integrability and Geometry: Methods and Applications
Volume16
DOIs
Publication statusPublished - 13 Aug 2020

Keywords

  • Elliptic analog
  • Fibonacci
  • Fibonomial
  • Q-analog
  • Weighted enumeration

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Mathematical Physics

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