Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2018, Cilt: 1 Sayı: 1, 46 - 53, 11.03.2018

Arzu Özkoç Öztürk Ayhan Porsuk

https://doi.org/10.32323/ujma.386520
Cited By: 3

Öz

Kaynakça

  • [1] M. Akyiğit, H. Kösal, M Tosun, Fibonacci Generalized Quaternions. Adv. Appl. Clifford Algebr. 24(3)(2014), 631–641.
  • [2] A. İpek, K. Arı, On $h(x)-$Fibonacci Octonion Polynomials, Alabama Journal of Mathematics, 39, 2015.
  • [3] A. İpek, C. Çimen, On $(p,q)-$Fibonacci Octonions. Mathematica Æterna, 6(6)(2016), 923-932.
  • [4] O. Keçilioğlu, İ. Akkuş¸, The Fibonacci Octonions, Adv. App Clifford Algebras 25(2015) 151-158.
  • [5] G. Y. Lee and M. Asci, Some Properties of the $(p,q)-$ Fibonacci and $(p,q)-$Lucas Polynomials, Journal of Applied Mathematics, Volume 2012, Article ID 264842, 18 pages doi:10.1155/2012/264842.
  • [6] A .Nalli, P. Haukkanen, On generalized Fibonacci and Lucas Polynomials, Chaos Solitons and Fractals 42(2009) 3179-3186.
  • [7] A. Özkoç¸, A. Porsuk, A Note for the $(p,q)-$Fibonacci and Lucas Quaternions Polynomials. Konuralp Journal of Mathematics. 5(2)(2017), 36-46.
  • [8] P. Ribenboim, My Numbers, My Friends, Popular Lectures on Number Theory, Springer-Verlag, New York, Inc. 2000.
  • [9] A Tekcan, A. Özkoc¸, M. Engür, M.E. Özbek, On Algebraic Identities on a New Integer Sequence with Four Parameters, Ars Combinatoria. 127(2016) 225-238.
  • [10] J. Wang, Some New Results for the (p;q)􀀀 Fibonacci and Lucas Polynomials. Advances in Difference Equations 2014, 2014: 64.

Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials

Yıl 2018, Cilt: 1 Sayı: 1, 46 - 53, 11.03.2018

Arzu Özkoç Öztürk Ayhan Porsuk

https://doi.org/10.32323/ujma.386520
Cited By: 3

Öz

We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain some interesting computational formulas.

Anahtar Kelimeler

Fibonacci Polynomials Generating Functions Fibonacci Octonions

Kaynakça

  • [1] M. Akyiğit, H. Kösal, M Tosun, Fibonacci Generalized Quaternions. Adv. Appl. Clifford Algebr. 24(3)(2014), 631–641.
  • [2] A. İpek, K. Arı, On $h(x)-$Fibonacci Octonion Polynomials, Alabama Journal of Mathematics, 39, 2015.
  • [3] A. İpek, C. Çimen, On $(p,q)-$Fibonacci Octonions. Mathematica Æterna, 6(6)(2016), 923-932.
  • [4] O. Keçilioğlu, İ. Akkuş¸, The Fibonacci Octonions, Adv. App Clifford Algebras 25(2015) 151-158.
  • [5] G. Y. Lee and M. Asci, Some Properties of the $(p,q)-$ Fibonacci and $(p,q)-$Lucas Polynomials, Journal of Applied Mathematics, Volume 2012, Article ID 264842, 18 pages doi:10.1155/2012/264842.
  • [6] A .Nalli, P. Haukkanen, On generalized Fibonacci and Lucas Polynomials, Chaos Solitons and Fractals 42(2009) 3179-3186.
  • [7] A. Özkoç¸, A. Porsuk, A Note for the $(p,q)-$Fibonacci and Lucas Quaternions Polynomials. Konuralp Journal of Mathematics. 5(2)(2017), 36-46.
  • [8] P. Ribenboim, My Numbers, My Friends, Popular Lectures on Number Theory, Springer-Verlag, New York, Inc. 2000.
  • [9] A Tekcan, A. Özkoc¸, M. Engür, M.E. Özbek, On Algebraic Identities on a New Integer Sequence with Four Parameters, Ars Combinatoria. 127(2016) 225-238.
  • [10] J. Wang, Some New Results for the (p;q)􀀀 Fibonacci and Lucas Polynomials. Advances in Difference Equations 2014, 2014: 64.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Arzu Özkoç Öztürk

Ayhan Porsuk Bu kişi benim

Yayımlanma Tarihi 11 Mart 2018
Gönderilme Tarihi 30 Ocak 2018
Kabul Tarihi 2 Mart 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 1

Kaynak Göster

APA Özkoç Öztürk, A., & Porsuk, A. (2018). Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials. Universal Journal of Mathematics and Applications, 1(1), 46-53. https://doi.org/10.32323/ujma.386520
AMA Özkoç Öztürk A, Porsuk A. Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials. Univ. J. Math. Appl. Mart 2018;1(1):46-53. doi:10.32323/ujma.386520
Chicago Özkoç Öztürk, Arzu, ve Ayhan Porsuk. “Some Remarks Regarding the $(p,q)-$Fibonacci and Lucas Octonion Polynomials”. Universal Journal of Mathematics and Applications 1, sy. 1 (Mart 2018): 46-53. https://doi.org/10.32323/ujma.386520.
EndNote Özkoç Öztürk A, Porsuk A (01 Mart 2018) Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials. Universal Journal of Mathematics and Applications 1 1 46–53.
IEEE A. Özkoç Öztürk ve A. Porsuk, “Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials”, Univ. J. Math. Appl., c. 1, sy. 1, ss. 46–53, 2018, doi: 10.32323/ujma.386520.
ISNAD Özkoç Öztürk, Arzu - Porsuk, Ayhan. “Some Remarks Regarding the $(p,q)-$Fibonacci and Lucas Octonion Polynomials”. Universal Journal of Mathematics and Applications 1/1 (Mart 2018), 46-53. https://doi.org/10.32323/ujma.386520.
JAMA Özkoç Öztürk A, Porsuk A. Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials. Univ. J. Math. Appl. 2018;1:46–53.
MLA Özkoç Öztürk, Arzu ve Ayhan Porsuk. “Some Remarks Regarding the $(p,q)-$Fibonacci and Lucas Octonion Polynomials”. Universal Journal of Mathematics and Applications, c. 1, sy. 1, 2018, ss. 46-53, doi:10.32323/ujma.386520.
Vancouver Özkoç Öztürk A, Porsuk A. Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials. Univ. J. Math. Appl. 2018;1(1):46-53.

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 Kapak Resmi İndir

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Universal Journal of Mathematics and Applications 

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