Permanent of Toeplitz-Hessenberg Matrices with Generalized Fibonacci and Lucas entries

被引：0
作者：
Belbachir, Hacene [1 ]
Belkhir, Amine [1 ]
Djellas, Ihab-Eddine [1 ,2 ]
机构：
[1] USTHB, RECITS Lab, Dept Math, POB 32, Algiers 16111, Algeria
[2] Ctr Rech Informat Sci & Tech CERIST, Ben Aknoun, Algeria
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2022年 / 17卷 / 02期
关键词：
Generalized Fibonacci numbers; Generalized Lucas numbers; Toeplitz-Hessenberg matrix; Permanent; Determinant; Recurrent sequences; Fibonacci sums; IDENTITIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we evaluate the permanent and determinant of some Toeplitz-Hessenberg matrices with generalized Fibonacci and generalized Lucas numbers as entries. We develop identi-ties involving sums of products of generalized Fibonacci numbers and generalized Lucas numbers with multinomial coefficients using the matrix structure, and then we present an application of the determinant of such matrices.
引用
收藏
页码：558 / 570
页数：14
相关论文
共 11 条
  • [1] Belbachir H., 2006, INTEGERS, V6, pA12
  • [2] Belbachir H., ARS COMBINATORIA
  • [3] Cerda-Morales G, 2013, HACET J MATH STAT, V42, P173
  • [4] DIPORTO A, 1988, LECT NOTES COMPUT SC, V330, P211
  • [5] Goy T, 2021, APPL APPL MATH, V16, P191
  • [6] Goy T, 2019, APPL APPL MATH, V14, P699
  • [7] Determinants of Toeplitz-Hessenberg matrices with generalized Fibonacci entries
    Goy, Taras
    Shattuck, Mark
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019, 25 (04) : 83 - 95
  • [8] Kilic E, 2010, ARS COMBINATORIA, V94, P161
  • [9] Muir T., 1960, THEORY DETERMINANTS, V3
  • [10] SHANNON AG, 1979, FIBONACCI QUART, V17, P294
12