COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS
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,
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- [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
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi