Some combinatorial identities via k-order Fibonacci matrices

Miskolc Mathematical Notes

article

Cahit Köme¹ 

[1] Nevs¸ehir Hacı Bektas¸ Veli University, Department of Mathematics

关键词: Pascal matrix;    Stirling matrix;    k-order Fibonacci matrix;    factorization;   

DOI  :  10.18514/MMN.2022.3683

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

Matrix factorizations have been widely used in recent years, especially in engineering problems, to facilitate performance-requiring computations. In this paper, we investigate some interesting relationships between some combinatorial matrices such as Pascal matrix, Stirling matrices and k-order Fibonacci matrix. We give factorizations and inverse factorizations of the Pascal and Stirling matrices via k-order Fibonacci matrix. Moreover, we derive various combinatorial properties by using relationships between these matrices. Finally, compared to previous studies, we present more general results for specific values of k.

【 授权许可】

CC BY