On quaternions with generalized Fibonacci and Lucas number components

Advances in Difference Equations

Emrah Polatli¹  Seyhun Kesim¹ 

[1] Department of Mathematics, Bulent Ecevit University, Zonguldak, Turkey

关键词: generalized Fibonacci quaternions;    generalized Lucas quaternions;    11B39;   

DOI  :  10.1186/s13662-015-0511-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we give the exponential generating functions for the generalized Fibonacci and generalized Lucas quaternions, respectively. Moreover, we give some new formulas for binomial sums of these quaternions by using their Binet forms.

【 授权许可】

CC BY