Sums of Products of s-Fibonacci Polynomial Sequences

被引：0
|
作者：
Ruiz Velasco, Claudio de Jesus Pita [1 ]
机构：
[1] Univ Panamer, Mexico City, DF, Mexico
来源：
JOURNAL OF INTEGER SEQUENCES | 2011年 / 14卷 / 07期
关键词：
Fibonacci polynomials; s-polygibonomials; addition formulas;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider $ s$-Fibonacci polynomial sequences (F-0(x), F-s(x), F-2s(x), . . .), where s epsilon N is given. By studying certain z-polynomials involving s-polyfibonomials (n k)F-s (x)= F-sn(x)... Fs(n-k+1)(x) / F-s(x) ...F-ks(x) and s-Gibonacci polynomial sequences (G(0) (x) , G(s) (x) ,G(2s)(x), . . .), we generalize some known results (and obtain some new results) concerning sums of products and addition formulas of Fibonacci numbers.
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页数：25
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