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https://hdl.handle.net/20.500.11851/3554| Title: | Formulae for two weighted binomial identities with the falling factorials | Authors: | Kılıç, Emrah Ömür, Neşe Koparal, Sibel |
Keywords: | Luca number fibonacci octonion binary linear recurrences binomial sums closed formula operator |
Publisher: | Charles Babbage Research Centre | Source: | Kilic, E., Ömür, N. and Koparal, S. (2018). Formulae For Two Weighted Binomial Identities With The Falling Factorials. Ars Comb., 138, 223-231. | Abstract: | In this paper, we will give closed formulae for weighted and alternating weighted binomial sums with the generalized Fibonacci and Lucas numbers including both falling factorials and powers of indices. Furthermore we will derive closed formulae for weighted binomial sums including odd powers of the generalized Fibonacci and Lucas numbers. © 2018 Charles Babbage Research Centre. All rights reserved. | URI: | https://hdl.handle.net/20.500.11851/3554 https://pdfs.semanticscholar.org/b8bd/338dd2dce1893415834549c2b977fb81afbc.pdf |
ISSN: | 0381-7032 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 338dd2dce1893415834549c2b977fb81afbc (1).pdf | 227.32 kB | Adobe PDF |  View/Open |
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