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Dergiler / 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
Sayfa
129–134
Yayın Tarihi
2014-08-01
DOI
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We also solve an open problem given in [3] under certain conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we define the generalized two-periodic linear recurrence systems and find the factorizations of this recurrence systems.
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Temel Bulgular & Veri:In this paper, we define the generalized two-periodic linear recurrence systems and find the factorizations of this recurrence systems.
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Sonuç & Katkı:We also solve an open problem given in [3] under certain conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (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