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
- M. Akyigit, H.H. Kosal, M. Tosun, Split Fibonacci Quaternions, Advances in Applied Clifford Algebras, Vol.23, No.3, pp.535-545, (2013).
- T. Koshy, Fibonacci and Lucas numbers with Applications, Wiley, (2019).
- G. Lee, M. Asci, Some Properties of the (p,q)- Fibonacci and (p,q)-Lucas Polynomials, Journal of Applied Mathematics, (2012).
- 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).
- B.K. Patel, P.K. Ray, On The Properties Of (p,q)-Fibonacci and (p,q)-Lucas Quaternions, Article in Mathematical Reports, 244, (2016).
- S. Halici, On Fibonacci Quaternions, Advances in Applied Clifford Algebras, Vol.22, No.2, pp.321-327, (2012).
- A. Suvarnamani, Some Properties of (p, q)-Lucas Number, Kyungpook Mathematical Journal, Vol.56, No.2, pp.367–370, (2016).
- 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"
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