q-Leonardo Hyper Dual Numbers

Turan M., ÖZKALDI KARAKUŞ S.

Konuralp Journal of Mathematics, cilt.13, sa.2, ss.317-324, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2025
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.317-324
  • Anahtar Kelimeler: hyper Dual Leonardo numbers, Hyper-Dual numbers, Leonardo numbers, q-integer
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In the present paper, the hyper-Dual Leonardo numbers will be introduced with the use of q-integer. Some algebraic properties of these numbers such as recurrence relation, generating function, Honsberger identity, Catalan’s identity, Cassini’s identity,the Binet’s formula and sum formulas will also be obtained.