Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 13 Sayı: 1, 51 - 56, 30.06.2021

Göksal Bilgici

Öz

Kaynakça

  • [1] Catarino, P., On k-Pell hybrid numbers, Journal of Discrete Mathematical Sciences and Cryptography, 22(1) (2019), 83–89.
  • [2] Kizilates, C., A new generalization of Fibonacci hybrid and Lucas hybrid numbers, Chaos, Solitons and Fractal, 130 (2020), 109449.
  • [3] Koshy, T., Fibonacci and Lucas numbers with applications, John Wiley and Sons, New Jersey, 2018.
  • [4] Ozdemir, M., Introduction to hybrid numbers, Advances in Applied Cli ord Algebras, 28(1) (2018), 11–43.
  • [5] Senturk, T. D., Bilgici, G., Dasdemir, A., Unal, Z., A study on Horadam hybrid numbers., Turkish Journal of Mathematics, 44(4) (2020), 1212–1221.
  • [6] Szynal–Liana, A., The Horadam hybrid numbers, Discussiones Mathematicae-General Algebra and Applications, 38(1) (2018), 91–98.
  • [7] Szynal–Liana, A., Wloch, I., On Pell and Pell-Lucas hybrid numbers, Comment. Math. Prace Mat., 58 (2018), 11-17.
  • [8] Szynal–Liana, A., Wloch, I., On Jacobsthal and Jacobsthal-Lucas hybrid numbers, Annales Mathematicae Silesianae, 33(1) (2019), 276-283.
  • [9] Tasyurdu, Y., Tribonacci and tribonacci-Lucas hybrid numbers, International Journal of Contemporary Mathematical Sciences, 14(4) (2019), 245-254.
  • [10] Tan, E., Ait-Amrane, N.R. On a new generalization of Fibonacci hybrid numbers, arXiv:2006.09727.

Unrestricted Gibonacci Hybrid Numbers

Yıl 2021, Cilt: 13 Sayı: 1, 51 - 56, 30.06.2021

Göksal Bilgici

Öz

Gibonacci sequence is a generalization of Fibonacci sequence and hybrid numbers are a mixture of reals, complex, dual and hyperbolic numbers. In this study, we introduce unrestricted Gibonacci hybrid numbers. After giving the definition of unrestricted gibonacci hybrid numbers, we give Binet--like formula for this kind of numbers. We also obtain some identities for unrestricted Gibonacci hybrid numbers.

Anahtar Kelimeler

Fibonacci numbers gibonacci numbers hybrid numbers

Kaynakça

  • [1] Catarino, P., On k-Pell hybrid numbers, Journal of Discrete Mathematical Sciences and Cryptography, 22(1) (2019), 83–89.
  • [2] Kizilates, C., A new generalization of Fibonacci hybrid and Lucas hybrid numbers, Chaos, Solitons and Fractal, 130 (2020), 109449.
  • [3] Koshy, T., Fibonacci and Lucas numbers with applications, John Wiley and Sons, New Jersey, 2018.
  • [4] Ozdemir, M., Introduction to hybrid numbers, Advances in Applied Cli ord Algebras, 28(1) (2018), 11–43.
  • [5] Senturk, T. D., Bilgici, G., Dasdemir, A., Unal, Z., A study on Horadam hybrid numbers., Turkish Journal of Mathematics, 44(4) (2020), 1212–1221.
  • [6] Szynal–Liana, A., The Horadam hybrid numbers, Discussiones Mathematicae-General Algebra and Applications, 38(1) (2018), 91–98.
  • [7] Szynal–Liana, A., Wloch, I., On Pell and Pell-Lucas hybrid numbers, Comment. Math. Prace Mat., 58 (2018), 11-17.
  • [8] Szynal–Liana, A., Wloch, I., On Jacobsthal and Jacobsthal-Lucas hybrid numbers, Annales Mathematicae Silesianae, 33(1) (2019), 276-283.
  • [9] Tasyurdu, Y., Tribonacci and tribonacci-Lucas hybrid numbers, International Journal of Contemporary Mathematical Sciences, 14(4) (2019), 245-254.
  • [10] Tan, E., Ait-Amrane, N.R. On a new generalization of Fibonacci hybrid numbers, arXiv:2006.09727.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Göksal Bilgici 0000-0001-9964-5578

Yayımlanma Tarihi 30 Haziran 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 13 Sayı: 1

Kaynak Göster

APA Bilgici, G. (2021). Unrestricted Gibonacci Hybrid Numbers. Turkish Journal of Mathematics and Computer Science, 13(1), 51-56. https://doi.org/10.47000/tjmcs.742878
AMA Bilgici G. Unrestricted Gibonacci Hybrid Numbers. TJMCS. Haziran 2021;13(1):51-56. doi:10.47000/tjmcs.742878
Chicago Bilgici, Göksal. “Unrestricted Gibonacci Hybrid Numbers”. Turkish Journal of Mathematics and Computer Science 13, sy. 1 (Haziran 2021): 51-56. https://doi.org/10.47000/tjmcs.742878.
EndNote Bilgici G (01 Haziran 2021) Unrestricted Gibonacci Hybrid Numbers. Turkish Journal of Mathematics and Computer Science 13 1 51–56.
IEEE G. Bilgici, “Unrestricted Gibonacci Hybrid Numbers”, TJMCS, c. 13, sy. 1, ss. 51–56, 2021, doi: 10.47000/tjmcs.742878.
ISNAD Bilgici, Göksal. “Unrestricted Gibonacci Hybrid Numbers”. Turkish Journal of Mathematics and Computer Science 13/1 (Haziran 2021), 51-56. https://doi.org/10.47000/tjmcs.742878.
JAMA Bilgici G. Unrestricted Gibonacci Hybrid Numbers. TJMCS. 2021;13:51–56.
MLA Bilgici, Göksal. “Unrestricted Gibonacci Hybrid Numbers”. Turkish Journal of Mathematics and Computer Science, c. 13, sy. 1, 2021, ss. 51-56, doi:10.47000/tjmcs.742878.
Vancouver Bilgici G. Unrestricted Gibonacci Hybrid Numbers. TJMCS. 2021;13(1):51-6.