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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2014 / Cilt: 63 - Sayı: 2

COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS

Semih YILMAZ
A.bulent EKIN
Pages
129–134
Publication Date
2014-08-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also solve an open problem given in [3] under certain conditions.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we define the generalized two-periodic linear recurrence systems and find the factorizations of this recurrence systems.
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Key Findings & Data:In this paper, we define the generalized two-periodic linear recurrence systems and find the factorizations of this recurrence systems.
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Conclusion & Impact:We also solve an open problem given in [3] under certain conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:hrases. Recurrences · Fibonacci and Lucas numbers · Special sequences and polynomials

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.

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Cite This Article

YILMAZ, S., EKIN, A. (2014). COMPLEX FACTORIZATION OF SOME TWO-PERIODIC LINEAR RECURRENCE SYSTEMS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 63 - Sayı: 2, 129–134. https://ajindex.com/articles/747373

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References (4)

  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