Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6742
Title: Formulas for Weighted Binomial Sums Using the Powers of Terms of Binary Recurrences
Authors: Kılıç, Emrah
Ulutaş, Yücel Türker
Ömür, Neşe
Keywords: binary recurrences
weighted binomial sums
Stirling numbers of the second kind
Chebyshev polynomials of the second kind
Publisher: Univ Miskolc Inst Math
Abstract: In this paper, we give general formulas for some weighted binomial sums, using the powers of terms of certain binary recurrences. As an applications of our results, we show that the weighted binomial sums of the generalized Fibonacci and Lucas numbers can be expressed via the second kinds of Chebyshev polynomials and Stirling numbers.
URI: https://doi.org/10.18514/MMN.2012.345
https://hdl.handle.net/20.500.11851/6742
ISSN: 1787-2405
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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