ALTERNATING SUMS OF THE POWERS OF FIBONACCI AND LUCAS NUMBERS

被引：11
|
作者：
Kilic, Emrah [1 ]
Omur, Nese [2 ]
Ulutas, Yucel Turker [2 ]
机构：
[1] TOBB Econ & Technol Univ, Dept Math, TR-06560 Ankara, Turkey
[2] Kocaeli Univ, Dept Math, TR-41380 Izmit, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2011年 / 12卷 / 01期
关键词：
Fibonacci and Lucas numbers; alternating sums; Binet formulas;
D O I：
10.18514/MMN.2011.280
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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}.
引用
收藏
页码：87 / 103
页数：17
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