Some new Fibonacci and Lucas identities by matrix methods

被引:13
作者
Keskin, Refik [1 ]
Demirturk, Bahar [1 ]
机构
[1] Sakarya Univ, Fac Sci & Arts, Dept Math, TR-54187 Sakarya, Turkey
关键词
Fibonacci numbers; Lucas numbers; Fibonacci matrix;
D O I
10.1080/00207390903236426
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The aim of this article is to characterize the 2 x 2 matrices X satisfying X-2 = X+I and obtain some new identities concerning with Fibonacci and Lucas numbers.
引用
收藏
页码:379 / 387
页数:9
相关论文
共 9 条
  • [1] BENJAMIN A.T., 2003, PROOFS REALLY COUNT
  • [2] BLYTH TS, 2000, BASIC LINEAR ALGEBRA
  • [3] Burton D. M., 1998, ELEMENTARY NUMBER TH, V4th
  • [4] Hardy G. H., 1980, INTRO THEORY NUMBERS
  • [5] Johnson R.C., MATRIX METHODS FIBON
  • [6] Koshy T., 2001, PUR AP M-WI
  • [7] Silvester JR., 1979, MATH GAZETTE, V63, P188, DOI [10.2307/3617892, DOI 10.2307/3617892]
  • [8] Vajda S., 1989, FIBONACCI LUCAS NUMB
  • [9] Yang K. W., 1997, MATH MAG, V70, P131