On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices

YILMAZ, Ahmet Fatih; BOZKURT, Durmuş

doi:10.15672/HJMS.2014437527

On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices

Ahmet Fatih YILMAZ, (GAZI UNIVERSITY, POLATLI FACULTY OF SCIENCE AND LETTERS)

Durmuş BOZKURT (SELCUK UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)

Hacettepe Journal of Mathematics and Statistics

3 0

Yıl: 2014 Cilt: 43 Sayı: 6 Sayfa Aralığı: 1001 - 1007 Metin Dili: İngilizce DOI: 10.15672/HJMS.2014437527 İndeks Tarihi: 29-07-2022

On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices

Öz:

At this paper, we derive some relationships between permanents of one type of lower-Hessenberg matrix family and the Fibonacci and Lucas numbers and their sums.

Anahtar Kelime: Fibonacci and Lucas number permanent Hessenberg matrix

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] H. Minc, Encyclopedia of Mathematics and Its Applications, Permanents, Vol. 6, AddisonWesley Publishing Company, London, 1978.
[2] F. Yılmaz, D. Bozkurt, Hessenberg matrices and the Pell and Perrin numbers, Journal of Number Theory, 131 (2011) 1390-1396.
[3] G. Y. Lee, k-Lucas numbers and associated bipartite graphs, Linear Algebra and Its Applications, 320 (2000) 51.
[4] D. H. Lehmer, Fibonacci and related sequences in periodic tridiagonal matrices, Fibonacci Quarterly 12 (1975) 150-158.
[5] E. Kılıç and D. Taşçı, Negatively subscripted Fibonacci and Lucas numbers and their complex factorizations, Ars Combinatoria 96 (2010) 275-288.
[6] R. A. Brualdi, P. M. Gibson, Convex polyhedra of Doubly Stochastic matrices I: applications of the permanent function, J. Combin. Theo. A 1977, 194-230.

APA	YILMAZ A, BOZKURT D (2014). On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. , 1001 - 1007. 10.15672/HJMS.2014437527
Chicago	YILMAZ Ahmet Fatih,BOZKURT Durmuş On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. (2014): 1001 - 1007. 10.15672/HJMS.2014437527
MLA	YILMAZ Ahmet Fatih,BOZKURT Durmuş On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. , 2014, ss.1001 - 1007. 10.15672/HJMS.2014437527
AMA	YILMAZ A,BOZKURT D On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. . 2014; 1001 - 1007. 10.15672/HJMS.2014437527
Vancouver	YILMAZ A,BOZKURT D On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. . 2014; 1001 - 1007. 10.15672/HJMS.2014437527
IEEE	YILMAZ A,BOZKURT D "On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices." , ss.1001 - 1007, 2014. 10.15672/HJMS.2014437527
ISNAD	YILMAZ, Ahmet Fatih - BOZKURT, Durmuş. "On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices". (2014), 1001-1007. https://doi.org/10.15672/HJMS.2014437527

APA	YILMAZ A, BOZKURT D (2014). On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics, 43(6), 1001 - 1007. 10.15672/HJMS.2014437527
Chicago	YILMAZ Ahmet Fatih,BOZKURT Durmuş On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics 43, no.6 (2014): 1001 - 1007. 10.15672/HJMS.2014437527
MLA	YILMAZ Ahmet Fatih,BOZKURT Durmuş On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics, vol.43, no.6, 2014, ss.1001 - 1007. 10.15672/HJMS.2014437527
AMA	YILMAZ A,BOZKURT D On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics. 2014; 43(6): 1001 - 1007. 10.15672/HJMS.2014437527
Vancouver	YILMAZ A,BOZKURT D On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics. 2014; 43(6): 1001 - 1007. 10.15672/HJMS.2014437527
IEEE	YILMAZ A,BOZKURT D "On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices." Hacettepe Journal of Mathematics and Statistics, 43, ss.1001 - 1007, 2014. 10.15672/HJMS.2014437527
ISNAD	YILMAZ, Ahmet Fatih - BOZKURT, Durmuş. "On the Fibonacci and Lucas numbers, their sums and permanents of one type of Hessenberg matrices". Hacettepe Journal of Mathematics and Statistics 43/6 (2014), 1001-1007. https://doi.org/10.15672/HJMS.2014437527