Balancing and Lucas-Balancing Hybrid Numbers and Some Identities
JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.45, sa.5, ss.1293-1304, 2024 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 5
- Basım Tarihi: 2024
- Doi Numarası: 10.47974/jios-1400
- Dergi Adı: JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.1293-1304
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Evet
Özet
In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet’s Formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, exponential generating functions of the Balancing and Lucas-Balancing hybrid numbers.