Balancing and Lucas-Balancing Hybrid Numbers and Some Identities

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Uysal M., Özkan E.

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.45, sa.5, ss.1293-1304, 2024 (ESCI)

  • 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
  • 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.