Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 9 Sayı: 1, 183 - 189, 28.04.2021

Öz

Kaynakça

  • [1] P. Catarino and A. Borges, On Leonardo Numbers, Acta Mathematica Universitatis Comenianae, Vol:89, No.1 (2019), 75–86.
  • [2] P. Catarino and A. Borges, A Note on Incomplete Leonardo Numbers, Integers, Vol:20 (2020).
  • [3] C. Kızılates, On the Quadra Lucas-Jacobsthal Numbers, Karaelmas Science and Engineering Journal, Vol:7, No.2 (2017), 619-621.
  • [4] E. G. Kocer, N. Tuglu and A. Stakhov, On the m extension of the Fibonacci and Lucas p numbers, Chaos, Solitons&Fractals, Vol:40, No.4 (2009), 1890–1906.
  • [5] Koshy, T., Fibonacci and Lucas numbers with Applications, John Wiley&Sons, 2001.
  • [6] A. G. Shannon, A Note On Generalized Leonardo Numbers, Notes on Number Theory and Discrete Mathematics, Vol:25, No. 3 (2019), 97-101.
  • [7] N. J. A. Sloane, The On-line Encyclopedia of Integers Sequences, The OEIS Foundation Inc., http.//oeis.org.
  • [8] R. R. Stone, General identities for Fibonacci and Lucas numbers with polynomial subscripts in several variables, Fibonacci Quarterly, Vol:13 (1975), 289-294.
  • [9] N. Tuglu, C. Kızılates and S. Kesim, On the harmonic and hyperharmonic Fibonacci numbers, Advances Difference Equations, Article number: 297 (2015).
  • [10] Vajda, S., Fibonacci and Lucas numbers and the Golden Section: Theory and Applications, Halsted Press,1989.
  • [11] R. P. M. Vieira, F. R. V. Alves and P. M. Catarino, Relacoes Bidimensiona is E Identidades Da Sequencia De Leonardo, Revista Sergipana de Matematica e Educacao Matematica, No. 2 (2019), 156-173.

Some Properties of Leonardo Numbers

Yıl 2021, Cilt: 9 Sayı: 1, 183 - 189, 28.04.2021

Öz

In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges. Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers. Also , we give relations among the Fibonacci, Lucas and Leonardo numbers. Finally, using the matrix representation of Leonardo numbers, we obtain some identities of Leonardo numbers.

Kaynakça

  • [1] P. Catarino and A. Borges, On Leonardo Numbers, Acta Mathematica Universitatis Comenianae, Vol:89, No.1 (2019), 75–86.
  • [2] P. Catarino and A. Borges, A Note on Incomplete Leonardo Numbers, Integers, Vol:20 (2020).
  • [3] C. Kızılates, On the Quadra Lucas-Jacobsthal Numbers, Karaelmas Science and Engineering Journal, Vol:7, No.2 (2017), 619-621.
  • [4] E. G. Kocer, N. Tuglu and A. Stakhov, On the m extension of the Fibonacci and Lucas p numbers, Chaos, Solitons&Fractals, Vol:40, No.4 (2009), 1890–1906.
  • [5] Koshy, T., Fibonacci and Lucas numbers with Applications, John Wiley&Sons, 2001.
  • [6] A. G. Shannon, A Note On Generalized Leonardo Numbers, Notes on Number Theory and Discrete Mathematics, Vol:25, No. 3 (2019), 97-101.
  • [7] N. J. A. Sloane, The On-line Encyclopedia of Integers Sequences, The OEIS Foundation Inc., http.//oeis.org.
  • [8] R. R. Stone, General identities for Fibonacci and Lucas numbers with polynomial subscripts in several variables, Fibonacci Quarterly, Vol:13 (1975), 289-294.
  • [9] N. Tuglu, C. Kızılates and S. Kesim, On the harmonic and hyperharmonic Fibonacci numbers, Advances Difference Equations, Article number: 297 (2015).
  • [10] Vajda, S., Fibonacci and Lucas numbers and the Golden Section: Theory and Applications, Halsted Press,1989.
  • [11] R. P. M. Vieira, F. R. V. Alves and P. M. Catarino, Relacoes Bidimensiona is E Identidades Da Sequencia De Leonardo, Revista Sergipana de Matematica e Educacao Matematica, No. 2 (2019), 156-173.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Yasemin Alp

E. Gökçen Koçer 0000-0002-7154-9063

Yayımlanma Tarihi 28 Nisan 2021
Gönderilme Tarihi 27 Aralık 2020
Kabul Tarihi 27 Mart 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 9 Sayı: 1

Kaynak Göster

APA Alp, Y., & Koçer, E. G. (2021). Some Properties of Leonardo Numbers. Konuralp Journal of Mathematics, 9(1), 183-189.
AMA Alp Y, Koçer EG. Some Properties of Leonardo Numbers. Konuralp J. Math. Nisan 2021;9(1):183-189.
Chicago Alp, Yasemin, ve E. Gökçen Koçer. “Some Properties of Leonardo Numbers”. Konuralp Journal of Mathematics 9, sy. 1 (Nisan 2021): 183-89.
EndNote Alp Y, Koçer EG (01 Nisan 2021) Some Properties of Leonardo Numbers. Konuralp Journal of Mathematics 9 1 183–189.
IEEE Y. Alp ve E. G. Koçer, “Some Properties of Leonardo Numbers”, Konuralp J. Math., c. 9, sy. 1, ss. 183–189, 2021.
ISNAD Alp, Yasemin - Koçer, E. Gökçen. “Some Properties of Leonardo Numbers”. Konuralp Journal of Mathematics 9/1 (Nisan 2021), 183-189.
JAMA Alp Y, Koçer EG. Some Properties of Leonardo Numbers. Konuralp J. Math. 2021;9:183–189.
MLA Alp, Yasemin ve E. Gökçen Koçer. “Some Properties of Leonardo Numbers”. Konuralp Journal of Mathematics, c. 9, sy. 1, 2021, ss. 183-9.
Vancouver Alp Y, Koçer EG. Some Properties of Leonardo Numbers. Konuralp J. Math. 2021;9(1):183-9.
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