Elliptic and q-analogs of the Fibonomial numbers

Cesar Ceballos; Nantel Bergeron; Josef Küstner

doi:10.3842/SIGMA.2020.076

Elliptic and q-analogs of the Fibonomial numbers

Cesar Ceballos , Nantel Bergeron, Josef Küstner^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Geometrie (5070)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Aufsatznummer	076
Seiten (von - bis)	1-16
Seitenumfang	16
Fachzeitschrift	Symmetry, Integrability and Geometry: Methods and Applications
Jahrgang	16
DOIs	https://doi.org/10.3842/SIGMA.2020.076
Publikationsstatus	Veröffentlicht - 13 Aug. 2020

ASJC Scopus subject areas

Analyse
Geometrie und Topologie
Mathematische Physik

Zugriff auf Dokument

10.3842/SIGMA.2020.076Lizenz: CC BY-SA 4.0

https://www.emis.de/journals/SIGMA/2020/076/sigma20-076.pdfLizenz: CC BY-SA 4.0

Andere Dateien und Links

http://www.scopus.com/inward/record.url?scp=85090542170&partnerID=8YFLogxK

Dieses zitieren

@article{8aa31860cb4d47908494dbab50638100,

title = "Elliptic and q-analogs of the Fibonomial numbers",

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.",

keywords = "Elliptic analog, Fibonacci, Fibonomial, Q-analog, Weighted enumeration",

author = "Cesar Ceballos and Nantel Bergeron and Josef K{\"u}stner",

year = "2020",

month = aug,

day = "13",

doi = "10.3842/SIGMA.2020.076",

language = "English",

volume = "16",

pages = "1--16",

journal = "Symmetry, Integrability and Geometry: Methods and Applications",

issn = "1815-0659",

publisher = "Institute of Applied Mathematics And Mechanics of the National Academy of Sciences of Ukraine",

}

TY - JOUR

T1 - Elliptic and q-analogs of the Fibonomial numbers

AU - Ceballos , Cesar

AU - Bergeron, Nantel

AU - Küstner, Josef

PY - 2020/8/13

Y1 - 2020/8/13

N2 - 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.

AB - 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.

KW - Elliptic analog

KW - Fibonacci

KW - Fibonomial

KW - Q-analog

KW - Weighted enumeration

UR - http://www.scopus.com/inward/record.url?scp=85090542170&partnerID=8YFLogxK

U2 - 10.3842/SIGMA.2020.076

DO - 10.3842/SIGMA.2020.076

M3 - Article

SN - 1815-0659

VL - 16

SP - 1

EP - 16

JO - Symmetry, Integrability and Geometry: Methods and Applications

JF - Symmetry, Integrability and Geometry: Methods and Applications

M1 - 076

ER -

Elliptic and q-analogs of the Fibonomial numbers

Abstract

ASJC Scopus subject areas

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren