Hybrid numbers with balancing and Lucas balancing hybrid number coefficients
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.74, sa.3, ss.395-402, 2025 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 3
- Basım Tarihi: 2025
- Doi Numarası: 10.31801/cfsuasmas.1561936
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.395-402
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number. Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula. Afterwards, using Binet's like formula, we obtained some identities such as D'ocagne's identity, Honsberger identity, Catalan identity, and Cassini identity.