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Quadrapell Kuaterniyonlarının Belirli Özellikleri Üzerine

Year 2018, Volume: 8 Issue: 1, 305 - 308, 01.01.2018

Emrah Polatlı

Abstract

Bu makalede, quadrapell kuaterniyonları tanıtılmıştır. Bu kuaterniyonların bazı kombinatorik özellikleri verilmiştir. İlave olarak, bu kuaterniyonlara binomiyal dönüşüm uygulanmış ve bazı cebirsel özellikler türetilmiştir

Keywords

Binomiyal Dönüşüm Üreteç Fonksiyon Quadrapell Sayıları Quadrapell Kuaterniyonları

References

  • 1. Gould, HW. 1990. Series transformations for findings recurrences for sequences. The Fibonacci Quart., 28(2): 166- 171.
  • 2. Haukkanen, P. 1993. Formal power series for binomial sums of sequences of numbers. The Fibonacci Quart., 31(1): 28-31.
  • 3. Horadam, AF. 1963. Complex Fibonacci numbers and Fibonacci quaternions. Amer. Math. Montly, 70: 289-291.
  • 4. Kızılateş, C., Tuğlu, N., Çekim, B. 2017. Binomial transform of quadrapell sequences and quadrapell matrix sequences. J. Sci. Arts, 1(38): 69-80.
  • 5. Prodinger, H. 1994. Some information about the binomial transform. The Fibonacci Quarterly, 32(5): 412-415.
  • 6. Spivey, MZ., Steil, LL. 2006. The k-binomial transforms and the Hankel transform. J. Integer Seq., 9: Article 06.1.1.
  • 7. Taşçı, D. 2009. On quadrapell numbers and quadrapell polynomials. Hacet. J. Math. Stat., 38(3): 265-275.

On Certain Properties of Quadrapell Quaternions

Year 2018, Volume: 8 Issue: 1, 305 - 308, 01.01.2018

Emrah Polatlı

Abstract

In this paper, we introduce quadrapell quaternions. We give some combinatorial properties of these quaternions. In addition, we apply the binomial transform to these quaternions and derive some algebraic properties.

Keywords

Quadrapell Numbers Quadrapell Quaternions Generating Function Binomial Transform.

References

  • 1. Gould, HW. 1990. Series transformations for findings recurrences for sequences. The Fibonacci Quart., 28(2): 166- 171.
  • 2. Haukkanen, P. 1993. Formal power series for binomial sums of sequences of numbers. The Fibonacci Quart., 31(1): 28-31.
  • 3. Horadam, AF. 1963. Complex Fibonacci numbers and Fibonacci quaternions. Amer. Math. Montly, 70: 289-291.
  • 4. Kızılateş, C., Tuğlu, N., Çekim, B. 2017. Binomial transform of quadrapell sequences and quadrapell matrix sequences. J. Sci. Arts, 1(38): 69-80.
  • 5. Prodinger, H. 1994. Some information about the binomial transform. The Fibonacci Quarterly, 32(5): 412-415.
  • 6. Spivey, MZ., Steil, LL. 2006. The k-binomial transforms and the Hankel transform. J. Integer Seq., 9: Article 06.1.1.
  • 7. Taşçı, D. 2009. On quadrapell numbers and quadrapell polynomials. Hacet. J. Math. Stat., 38(3): 265-275.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Emrah Polatlı This is me

Publication Date January 1, 2018
Published in Issue Year 2018 Volume: 8 Issue: 1

Cite

APA Polatlı, E. (2018). On Certain Properties of Quadrapell Quaternions. Karaelmas Fen Ve Mühendislik Dergisi, 8(1), 305-308.
AMA Polatlı E. On Certain Properties of Quadrapell Quaternions. Karaelmas Fen ve Mühendislik Dergisi. January 2018;8(1):305-308.
Chicago Polatlı, Emrah. “On Certain Properties of Quadrapell Quaternions”. Karaelmas Fen Ve Mühendislik Dergisi 8, no. 1 (January 2018): 305-8.
EndNote Polatlı E (January 1, 2018) On Certain Properties of Quadrapell Quaternions. Karaelmas Fen ve Mühendislik Dergisi 8 1 305–308.
IEEE E. Polatlı, “On Certain Properties of Quadrapell Quaternions”, Karaelmas Fen ve Mühendislik Dergisi, vol. 8, no. 1, pp. 305–308, 2018.
ISNAD Polatlı, Emrah. “On Certain Properties of Quadrapell Quaternions”. Karaelmas Fen ve Mühendislik Dergisi 8/1 (January 2018), 305-308.
JAMA Polatlı E. On Certain Properties of Quadrapell Quaternions. Karaelmas Fen ve Mühendislik Dergisi. 2018;8:305–308.
MLA Polatlı, Emrah. “On Certain Properties of Quadrapell Quaternions”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 8, no. 1, 2018, pp. 305-8.
Vancouver Polatlı E. On Certain Properties of Quadrapell Quaternions. Karaelmas Fen ve Mühendislik Dergisi. 2018;8(1):305-8.