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

Year 2014, Volume: 63 Issue: 2, 129 - 134, 01.08.2014

Semih Yılmaz A.bulent Ekın

https://doi.org/10.1501/Commua1_0000000718

Abstract

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.

Keywords

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

References

[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

Year 2014, Volume: 63 Issue: 2, 129 - 134, 01.08.2014

Semih Yılmaz A.bulent Ekın

https://doi.org/10.1501/Commua1_0000000718

Abstract

References

[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

There are 5 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Semih Yılmaz This is me A.bulent Ekın This is me
Publication Date	August 1, 2014
Published in Issue	Year 2014 Volume: 63 Issue: 2

Cite

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. August 2014;63(2):129-134. doi:10.1501/Commua1_0000000718
Chicago	Yılmaz, Semih, and 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, no. 2 (August 2014): 129-34. https://doi.org/10.1501/Commua1_0000000718.
EndNote	Yılmaz S, Ekın A (August 1, 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 and A. Ekın, “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 63, no. 2, pp. 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 (August 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 and A.bulent Ekın. “COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 63, no. 2, 2014, pp. 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.