The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence
Yıl: 2016 Cilt: 3 Sayı: 2 Sayfa Aralığı: 99 - 104 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence
Öz: I n this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal p-sequence. The generating matrix, the generalized Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated. Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- 1. Stakhov AP. A generalization of the Fibonacci Q-matrix. National Academy of Sciences of Ukraine 9 (1999) 46-49.
- 2. Stakhov AP, Rozin B. Theory of Binet formulas for Fibonacci and Lucas p-numbers. Chaos Solitions and Fractals 27 (2006) 1162-1177.
- 3. Kilic E. The Binet formula, sum and representations of generalized Fibonacci p-numbers. European Journal of Combinatorics 29 (2008) 701-711.
- 4. Horadam AF. Jacobsthal Representation Numbers. Fibonacci Quarterly 34 (1996) 40-54.
- 5. Cerin Z. Sums of Squares and Products of Jacobsthal Numbers. Journal of Integer Sequences 10 (2007) Article 07.2.5.
- 6. Chen WYC, Louck JD. The combinatorial power of the companion matrix. Linear Algebra and its Applications 232 (1996) 261-78.
- 7. Koken F, Dozkurt D. On the Jacobsthal Numbers by Matrix Methods. International Journal of Contemporary Mathematical Sciences 3(13) (2008) 605-614.
APA | daşdemir a (2016). The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. , 99 - 104. |
Chicago | daşdemir ahmet The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. (2016): 99 - 104. |
MLA | daşdemir ahmet The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. , 2016, ss.99 - 104. |
AMA | daşdemir a The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. . 2016; 99 - 104. |
Vancouver | daşdemir a The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. . 2016; 99 - 104. |
IEEE | daşdemir a "The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence." , ss.99 - 104, 2016. |
ISNAD | daşdemir, ahmet. "The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence". (2016), 99-104. |
APA | daşdemir a (2016). The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering, 3(2), 99 - 104. |
Chicago | daşdemir ahmet The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering 3, no.2 (2016): 99 - 104. |
MLA | daşdemir ahmet The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering, vol.3, no.2, 2016, ss.99 - 104. |
AMA | daşdemir a The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering. 2016; 3(2): 99 - 104. |
Vancouver | daşdemir a The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering. 2016; 3(2): 99 - 104. |
IEEE | daşdemir a "The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence." Hittite Journal of Science and Engineering, 3, ss.99 - 104, 2016. |
ISNAD | daşdemir, ahmet. "The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence". Hittite Journal of Science and Engineering 3/2 (2016), 99-104. |