Alternating sums of the powers of Fibonacci and Lucas numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2011 Turkey Publisher:Mathematical NotesJournal:Miskolc Mathematical Notes, volume 12, page 87 (issn: 1787-2405, eissn: 1787-2413,

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Authors: Ömür, Neşe; Ulutaş, Yücel Türker; Kılıç, Emrah;

doi: 10.18514/mmn.2011.280

handle: 20.500.11851/6224

Alternating sums of the powers of Fibonacci and Lucas numbers

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Abstract

We shall consider alternating Melham's sums for Fibonacci and Lucas numbers of the form Sigma(n)(k=1) (-1)(k) F-2k+delta(2m+epsilon) and Sigma(n)(k=1) (-1)(k) L-2k+delta(2m+epsilon), where epsilon, delta is an element of {0, 1}.

Country

Turkey

Related Organizations

University of Kocaeli
Turkey
TOBB University of Economics and Technology
Turkey
TOBB University of Economics and Technology
Turkey

Keywords

Fibonacci and Lucas numbers, alternating sums, Binet formulas

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