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Dergiler / Hittite Journal of Science and Engineering / 2016 / Volume: 3 Issue: 2

The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence

Ahmet Daşdemir(Kastamonu University, Department of Mathematics, Kastamonu, TURKEY)
Sayfa
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Yayın Tarihi
2016-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated.
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Temel Bulgular & Veri:In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are investigated.
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Sonuç & Katkı:Moreover, certain sum formula consisting of the terms of the generalized Jacobsthal p-sequence are given
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Jacobsthal sequence · Generating Matrix · Binet Formula

Abstract

In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal 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

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Bu Makaleye Atıf Yap

Daşdemir, A. (2016). The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence. Hittite Journal of Science and Engineering, Volume: 3 Issue: 2. https://doi.org/10.17350/HJSE19030000038

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Kaynakça (7)

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  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.