COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS

Semih Yılmaz; A.bulent Ekın

doi:10.1501/Commua1_0000000718

COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS

Yıl 2014, Cilt: 63 Sayı: 2, 129 - 134, 01.08.2014

Semih Yılmaz A.bulent Ekın

https://doi.org/10.1501/Commua1_0000000718

Öz

In this paper, we define the generalized two-periodic linear recurrence systems and find the factorizations of this recurrence systems. We also
solve an open problem given in [3] under certain conditions.

Anahtar Kelimeler

hrases. Recurrences, Fibonacci and Lucas numbers, Special sequences and polynomials, Periodic Recurrence, Factor

Kaynakça

[1] Daniel Panario, Murat ¸Sahin, Qiang Wang; A family of Fibonacci-like conditional sequences, INTEGERS Electronic Journal of Combinatorial Number Theory, 13, A78, 2013.
[2] Heleman R. P. Ferguson; The Fibonacci Pseudogroup, Characteristic Polynomials and Eigenvalues of Tridiagonal Matrices, Periodic Linear Recurrence Systems and Application to Quantum Mechanics, The Fibonacci Quarterly, 16.4 (1978): 435ñ447.
[3] Curtis Cooper, Richard Parry; Factorizations Of Some Periodic Linear Recurrence Systems, The Eleventh International Conference on Fibonacci Numbers and Their Applications, Germany (July 2004).
[4] Nathan D. Cahill, John R. DíErrico, John P. Spence; Complex Factorizations of the Fibonacci and Lucas Numbers, The Fibonacci Quarterly, 41, No.1 (2003), 13-19.
[5] www.oeis.org , The On-Line Encyclopedia of Integer Seque

Yıl 2014, Cilt: 63 Sayı: 2, 129 - 134, 01.08.2014

Semih Yılmaz A.bulent Ekın

https://doi.org/10.1501/Commua1_0000000718

Öz

Kaynakça

[1] Daniel Panario, Murat ¸Sahin, Qiang Wang; A family of Fibonacci-like conditional sequences, INTEGERS Electronic Journal of Combinatorial Number Theory, 13, A78, 2013.
[2] Heleman R. P. Ferguson; The Fibonacci Pseudogroup, Characteristic Polynomials and Eigenvalues of Tridiagonal Matrices, Periodic Linear Recurrence Systems and Application to Quantum Mechanics, The Fibonacci Quarterly, 16.4 (1978): 435ñ447.
[3] Curtis Cooper, Richard Parry; Factorizations Of Some Periodic Linear Recurrence Systems, The Eleventh International Conference on Fibonacci Numbers and Their Applications, Germany (July 2004).
[4] Nathan D. Cahill, John R. DíErrico, John P. Spence; Complex Factorizations of the Fibonacci and Lucas Numbers, The Fibonacci Quarterly, 41, No.1 (2003), 13-19.
[5] www.oeis.org , The On-Line Encyclopedia of Integer Seque

Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Research Article
Yazarlar	Semih Yılmaz Bu kişi benim A.bulent Ekın Bu kişi benim
Yayımlanma Tarihi	1 Ağustos 2014
Yayımlandığı Sayı	Yıl 2014 Cilt: 63 Sayı: 2

Kaynak Göster

APA	Yılmaz, S., & Ekın, A. (2014). COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(2), 129-134. https://doi.org/10.1501/Commua1_0000000718
AMA	Yılmaz S, Ekın A. COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2014;63(2):129-134. doi:10.1501/Commua1_0000000718
Chicago	Yılmaz, Semih, ve A.bulent Ekın. “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63, sy. 2 (Ağustos 2014): 129-34. https://doi.org/10.1501/Commua1_0000000718.
EndNote	Yılmaz S, Ekın A (01 Ağustos 2014) COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 2 129–134.
IEEE	S. Yılmaz ve A. Ekın, “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 63, sy. 2, ss. 129–134, 2014, doi: 10.1501/Commua1_0000000718.
ISNAD	Yılmaz, Semih - Ekın, A.bulent. “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/2 (Ağustos 2014), 129-134. https://doi.org/10.1501/Commua1_0000000718.
JAMA	Yılmaz S, Ekın A. COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:129–134.
MLA	Yılmaz, Semih ve A.bulent Ekın. “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 63, sy. 2, 2014, ss. 129-34, doi:10.1501/Commua1_0000000718.
Vancouver	Yılmaz S, Ekın A. COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(2):129-34.