POWER SUMS OF FIBONACCI AND LUCAS NUMBERS

被引：7
|
作者：
Chu, Wenchang [1 ]
Li, Nadia N. [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
QUAESTIONES MATHEMATICAE | 2011年 / 34卷 / 01期
关键词：
Fibonacci numbers; Lucas numbers; generating function; Stirling numbers of the first kind; Stirling numbers of the second kind;
D O I：
10.2989/16073606.2011.570298
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Polynomial representation formulae for power sums of the extended Fibonacci-Lucas numbers are established, which include, as special cases, four formulae for odd power sums of Melham type on Fibonacci and Lucas numbers, obtained recently by Ozeki and Prodinger (2009).
引用
收藏
页码：75 / 83
页数：9
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