Hybrid numbers with balancing and Lucas balancing hybrid number coefficients
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.74, no.3, pp.395-402, 2025 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 74 Issue: 3
- Publication Date: 2025
- Doi Number: 10.31801/cfsuasmas.1561936
- Journal Name: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.395-402
- Bilecik Şeyh Edebali University Affiliated: Yes
Abstract
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.