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Year 2018, , 46 - 53, 11.03.2018
https://doi.org/10.32323/ujma.386520

Abstract

References

  • [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

Year 2018, , 46 - 53, 11.03.2018
https://doi.org/10.32323/ujma.386520

Abstract

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.

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Arzu Özkoç Öztürk

Ayhan Porsuk This is me

Publication Date March 11, 2018
Submission Date January 30, 2018
Acceptance Date March 2, 2018
Published in Issue Year 2018

Cite

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. March 2018;1(1):46-53. doi:10.32323/ujma.386520
Chicago Özkoç Öztürk, Arzu, and Ayhan Porsuk. “Some Remarks Regarding the $(p,q)-$Fibonacci and Lucas Octonion Polynomials”. Universal Journal of Mathematics and Applications 1, no. 1 (March 2018): 46-53. https://doi.org/10.32323/ujma.386520.
EndNote Özkoç Öztürk A, Porsuk A (March 1, 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 and A. Porsuk, “Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials”, Univ. J. Math. Appl., vol. 1, no. 1, pp. 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 (March 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 and Ayhan Porsuk. “Some Remarks Regarding the $(p,q)-$Fibonacci and Lucas Octonion Polynomials”. Universal Journal of Mathematics and Applications, vol. 1, no. 1, 2018, pp. 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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