Elliptic and 𝑞-Analogs of the Fibonomial Numbers

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dc.contributor.authorBergeron, Nantel
dc.contributor.authorCeballos, Cesar
dc.contributor.authorKüstner, Josef
dc.date.accessioned2025-12-17T14:32:21Z
dc.date.issued2020
dc.description.abstractIn 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.
dc.description.sponsorshipThe authors are grateful to Farid Aliniaeifard, Tom Denton, Shu Xiao Li, Drew Armstrong, Bruce Sagan, Michael Schlosser, and Mike Zabrocki for helpful and inspiring discussions. We also thank anonymous referees for their useful comments and suggestions. NB was supported by NSERC and a York Research Chair. CC was supported by the Austrian Science Foundation FWF, grant F 5008-N15, in the framework of the Special Research Program Algorithmic and Enumerative Combinatorics. JK was supported by the Austrian Science Foundation FWF, grant P 32305.
dc.identifier.citationElliptic and 𝑞-Analogs of the Fibonomial Numbers. Nantel Bergeron, Cesar Ceballos and Josef Küstner. SIGMA 16 (2020), 076, 16 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.076
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 11B39; 05A30; 05A10
dc.identifier.otherarXiv:1911.12785
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210772
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleElliptic and 𝑞-Analogs of the Fibonomial Numbers
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік