Well-poised q-series and new Fibonomial-like sums
We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their q-forms and then use known terminating well-poised q-series identities. © 2024 The Autho...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-10-01
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| Series: | Kuwait Journal of Science |
| Subjects: | |
| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410824000919 |
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| _version_ | 1850209070768717824 |
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| author | Chu W. Kılıç E. |
| author_facet | Chu W. Kılıç E. |
| author_sort | Chu W. |
| collection | DOAJ |
| description | We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their q-forms and then use known terminating well-poised q-series identities. © 2024 The Author(s) |
| format | Article |
| id | doaj-art-fd1020b8a1fb4e7692cfe41af6d42f73 |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-fd1020b8a1fb4e7692cfe41af6d42f732025-08-20T02:10:06ZengElsevierKuwait Journal of Science2307-41082307-41162024-10-0151410026610.1016/j.kjs.2024.100266Well-poised q-series and new Fibonomial-like sumsChu W.Kılıç E.We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one. In order to prove the claims we will convert them into their q-forms and then use known terminating well-poised q-series identities. © 2024 The Author(s)https://www.sciencedirect.com/science/article/pii/S2307410824000919fibonomial coefficientgaussian coefficientlucanomial coefficientq-binomial coefficientwell-poised q-series |
| spellingShingle | Chu W. Kılıç E. Well-poised q-series and new Fibonomial-like sums Kuwait Journal of Science fibonomial coefficient gaussian coefficient lucanomial coefficient q-binomial coefficient well-poised q-series |
| title | Well-poised q-series and new Fibonomial-like sums |
| title_full | Well-poised q-series and new Fibonomial-like sums |
| title_fullStr | Well-poised q-series and new Fibonomial-like sums |
| title_full_unstemmed | Well-poised q-series and new Fibonomial-like sums |
| title_short | Well-poised q-series and new Fibonomial-like sums |
| title_sort | well poised q series and new fibonomial like sums |
| topic | fibonomial coefficient gaussian coefficient lucanomial coefficient q-binomial coefficient well-poised q-series |
| url | https://www.sciencedirect.com/science/article/pii/S2307410824000919 |
| work_keys_str_mv | AT chuw wellpoisedqseriesandnewfibonomiallikesums AT kılıce wellpoisedqseriesandnewfibonomiallikesums |