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Title: Formulae for two weighted binomial identities with the falling factorials
Authors: Kılıç, Emrah
Ömür, Neşe
Koparal, Sibel
Keywords: Luca number
binary linear recurrences
binomial sums
closed formula
Issue Date: Apr-2018
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.
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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