q-Leonardo Hyper Dual Numbers


Turan M., ÖZKALDI KARAKUŞ S.

Konuralp Journal of Mathematics, vol.13, no.2, pp.317-324, 2025 (Scopus)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2025
  • Journal Name: Konuralp Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.317-324
  • Keywords: hyper Dual Leonardo numbers, Hyper-Dual numbers, Leonardo numbers, q-integer
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

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.