Dual-complex generalized k-Horadam numbers

Abstract

The purpose of this paper is to provide a broad overview of the generalization of the various dual-complex number sequences, especially in the disciplines of mathematics and physics. By the help of dual numbers and dual-complex numbers, in this paper, we define the dual-complex generalized k-Horadam numbers. Furthermore, we investigate the Binet formula, generating function, some conjugation identities, summation formula and a theorem which is generalization of the Catalan's identity, Cassini's identity and d'Ocagne's identity.

Keywords

• Dual Numbers
• Dual-Complex Numbers
• Generalized k-Horadam Numbers
• Dual-Complex Generalized k-Horadam Numbers

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