Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, Cilt: 10 Sayı: 1, 118 - 126, 15.04.2022

Öz

Kaynakça

  • [1] Horadam, A. F. “Jacobsthal Representation Numbers.” Fib. Quart. 34, 40-54, 1996.
  • [2] Sobczyk, G.. The Hyperbolic Number Plane, The College Mathematics Journal, 26(4), (1995) 268–280.
  • [3] A. E. Motter and A. F. Rosa, Hyperbolic calculus, Adv. Appl. Clifford Algebr., 8(1), (1998), 109-128.
  • [4] F. Torunbalcı Aydın, On generalisations of the Jacobsthal Sequence, Notes on Number Theory and Discrete Mathematics, Online ISSN
  • [5] F. Torunbalcı Aydın, Hyperbolic Fibonacci Sequence, Universal Journal of Mathematics and Applications, Cilt 2, Sayı 2, (2019), 59-62.
  • [6] Y.Soykan, On Dual Hyperbolic Generalized Fibonacci Numbers. Preprints (2019), 2019100172 (doi: 10.20944/preprints201910.0172.v1).
  • [7] Y. Soykan, ve M. G¨ocen, Properties of hyperbolic generalized Pell numbers. Notes on Number Theory and Discrete Mathematics,Vol. 26, (2020), No. 4, 136–153.
  • [8] C. M. Dikmen, Hyperbolic Jacobsthal Numbers, Asian Research Journal of Mathematics, 15 (4) (2019), 1-9. https://doi.org/10.9734/arjom/2019/v15i430153
  • [9] Tas¸yurdu Y. Hyperbolic Tribonacci and Tribonacci-Lucas Sequences, International Journal of Mathematical Analysis Vol. 13, 2019, no. 12, 565 - 572 https://doi.org/10.12988/ijma.2019.91167
  • [10] G. Cerda -Morales, Identities for Third Order Jacobsthal Quaternions, Advances in AppliedCifford Algebras 27(2) (2017), 1043-1053.
  • [11] G. Cerda -Morales, A Note On Dual Third Order Jacobsthal Vectors, Preprints 2017, arXiv:1712.08950v1[math.RA]
  • [12] Charles K. Cook and Michael R. Bacon, Some identities for Jacobsthal and Jacobsthal-Lucas numbers satisfying higher order recurrence relations, Annales Mathematicae et Informaticae, 41 (2013) pp. 27–39.

On Third Order Hyperbolic Jacobsthal Numbers

Yıl 2022, Cilt: 10 Sayı: 1, 118 - 126, 15.04.2022

Öz

In this paper, we introduce the hyperbolic third order Jacobsthal and Jacobsthal-Lucas numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.

Kaynakça

  • [1] Horadam, A. F. “Jacobsthal Representation Numbers.” Fib. Quart. 34, 40-54, 1996.
  • [2] Sobczyk, G.. The Hyperbolic Number Plane, The College Mathematics Journal, 26(4), (1995) 268–280.
  • [3] A. E. Motter and A. F. Rosa, Hyperbolic calculus, Adv. Appl. Clifford Algebr., 8(1), (1998), 109-128.
  • [4] F. Torunbalcı Aydın, On generalisations of the Jacobsthal Sequence, Notes on Number Theory and Discrete Mathematics, Online ISSN
  • [5] F. Torunbalcı Aydın, Hyperbolic Fibonacci Sequence, Universal Journal of Mathematics and Applications, Cilt 2, Sayı 2, (2019), 59-62.
  • [6] Y.Soykan, On Dual Hyperbolic Generalized Fibonacci Numbers. Preprints (2019), 2019100172 (doi: 10.20944/preprints201910.0172.v1).
  • [7] Y. Soykan, ve M. G¨ocen, Properties of hyperbolic generalized Pell numbers. Notes on Number Theory and Discrete Mathematics,Vol. 26, (2020), No. 4, 136–153.
  • [8] C. M. Dikmen, Hyperbolic Jacobsthal Numbers, Asian Research Journal of Mathematics, 15 (4) (2019), 1-9. https://doi.org/10.9734/arjom/2019/v15i430153
  • [9] Tas¸yurdu Y. Hyperbolic Tribonacci and Tribonacci-Lucas Sequences, International Journal of Mathematical Analysis Vol. 13, 2019, no. 12, 565 - 572 https://doi.org/10.12988/ijma.2019.91167
  • [10] G. Cerda -Morales, Identities for Third Order Jacobsthal Quaternions, Advances in AppliedCifford Algebras 27(2) (2017), 1043-1053.
  • [11] G. Cerda -Morales, A Note On Dual Third Order Jacobsthal Vectors, Preprints 2017, arXiv:1712.08950v1[math.RA]
  • [12] Charles K. Cook and Michael R. Bacon, Some identities for Jacobsthal and Jacobsthal-Lucas numbers satisfying higher order recurrence relations, Annales Mathematicae et Informaticae, 41 (2013) pp. 27–39.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Can Murat Dikmen

Mustafa Altınsoy Bu kişi benim 0000-0001-8384-4636

Yayımlanma Tarihi 15 Nisan 2022
Gönderilme Tarihi 7 Nisan 2021
Kabul Tarihi 23 Haziran 2021
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 1

Kaynak Göster

APA Dikmen, C. M., & Altınsoy, M. (2022). On Third Order Hyperbolic Jacobsthal Numbers. Konuralp Journal of Mathematics, 10(1), 118-126.
AMA Dikmen CM, Altınsoy M. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. Nisan 2022;10(1):118-126.
Chicago Dikmen, Can Murat, ve Mustafa Altınsoy. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics 10, sy. 1 (Nisan 2022): 118-26.
EndNote Dikmen CM, Altınsoy M (01 Nisan 2022) On Third Order Hyperbolic Jacobsthal Numbers. Konuralp Journal of Mathematics 10 1 118–126.
IEEE C. M. Dikmen ve M. Altınsoy, “On Third Order Hyperbolic Jacobsthal Numbers”, Konuralp J. Math., c. 10, sy. 1, ss. 118–126, 2022.
ISNAD Dikmen, Can Murat - Altınsoy, Mustafa. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics 10/1 (Nisan 2022), 118-126.
JAMA Dikmen CM, Altınsoy M. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. 2022;10:118–126.
MLA Dikmen, Can Murat ve Mustafa Altınsoy. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics, c. 10, sy. 1, 2022, ss. 118-26.
Vancouver Dikmen CM, Altınsoy M. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. 2022;10(1):118-26.
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