Elliptic and -Analogs of the Fibonomial Numbers
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 -analog and elliptic an...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210772 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Elliptic and -Analogs of the Fibonomial Numbers. Nantel Bergeron, Cesar Ceballos and Josef Küstner. SIGMA 16 (2020), 076, 16 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 -analog and elliptic analog of the Fibonomial numbers. This is achieved by introducing some -weights and elliptic weights to a slight modification of the combinatorial model of Sagan and Savage.
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| ISSN: | 1815-0659 |