Araştırma Makalesi

SPLIT (s, t)−LUCAS QUATERNIONS

Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 29 Aralık 2024
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EN

SPLIT (s, t)−LUCAS QUATERNIONS

Öz

In this paper, we introduce a new class of split (s,t)- Lucas quaternions that generalizes the split Lucas quaternions. Additionally, we derive Binet-like formulas, generating functions, binomial sums and Honsberger-like, d'Ocagne-like, Catalan's-like and Cassini's-like identities.

Anahtar Kelimeler

Kaynakça

  1. M. Akyigit, H.H. Kosal, M. Tosun, Split Fibonacci Quaternions, Advances in Applied Clifford Algebras, Vol.23, No.3, pp.535-545, (2013).
  2. T. Koshy, Fibonacci and Lucas numbers with Applications, Wiley, (2019).
  3. G. Lee, M. Asci, Some Properties of the (p,q)- Fibonacci and (p,q)-Lucas Polynomials, Journal of Applied Mathematics, (2012).
  4. A. Ipek, On (p, q)-Fibonacci Quaternions and Their Binet Formulas, Generating Functions and Certain Binomial Sums, Advances in Applied Clifford Algebras, Vol.27, No.2, pp.1343-1351, (2017).
  5. B.K. Patel, P.K. Ray, On The Properties Of (p,q)-Fibonacci and (p,q)-Lucas Quaternions, Article in Mathematical Reports, 244, (2016).
  6. S. Halici, On Fibonacci Quaternions, Advances in Applied Clifford Algebras, Vol.22, No.2, pp.321-327, (2012).
  7. A. Suvarnamani, Some Properties of (p, q)-Lucas Number, Kyungpook Mathematical Journal, Vol.56, No.2, pp.367–370, (2016).
  8. O. Diskaya, H. Menken, On the Split (s, t)-Padovan and (s, t)-Perrin Quaternions, International Journal of Applied Mathematics and Informatics, Vol.13, pp.25-28, (2019).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebir ve Sayı Teorisi

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Aralık 2024

Gönderilme Tarihi

25 Eylül 2024

Kabul Tarihi

30 Kasım 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA
Menken, H., & Tekin, D. (2024). SPLIT (s, t)−LUCAS QUATERNIONS. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 1-9. https://doi.org/10.33773/jum.1549438
AMA
1.Menken H, Tekin D. SPLIT (s, t)−LUCAS QUATERNIONS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):1-9. doi:10.33773/jum.1549438
Chicago
Menken, Hamza, ve Durdane Tekin. 2024. “SPLIT (s, t)−LUCAS QUATERNIONS”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 1-9. https://doi.org/10.33773/jum.1549438.
EndNote
Menken H, Tekin D (01 Aralık 2024) SPLIT (s, t)−LUCAS QUATERNIONS. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 1–9.
IEEE
[1]H. Menken ve D. Tekin, “SPLIT (s, t)−LUCAS QUATERNIONS”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 1–9, Ara. 2024, doi: 10.33773/jum.1549438.
ISNAD
Menken, Hamza - Tekin, Durdane. “SPLIT (s, t)−LUCAS QUATERNIONS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 1-9. https://doi.org/10.33773/jum.1549438.
JAMA
1.Menken H, Tekin D. SPLIT (s, t)−LUCAS QUATERNIONS. JUM. 2024;7:1–9.
MLA
Menken, Hamza, ve Durdane Tekin. “SPLIT (s, t)−LUCAS QUATERNIONS”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 1-9, doi:10.33773/jum.1549438.
Vancouver
1.Hamza Menken, Durdane Tekin. SPLIT (s, t)−LUCAS QUATERNIONS. JUM. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):1-9. doi:10.33773/jum.1549438