Dual-complex generalized k-Horadam numbers

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
Dual-complex generalized k-Horadam numbers

Dual-complex generalized k-Horadam numbers

Authors : Sure KÖME, Cahit KÖME, Yasin YAZLİK

Pages : 117-129

Doi:10.31801/cfsuasmas.780861

View : 20 | Download : 10

Publication Date : 2021-06-30

Article Type : Research Paper

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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