On Some Properties of Bihyperbolic Numbers of The Lucas Type

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Communications in Advanced Mathematical Sciences
Volume:6 Issue:4
On Some Properties of Bihyperbolic Numbers of The Lucas Type

On Some Properties of Bihyperbolic Numbers of The Lucas Type

Authors : Fügen Torunbalci Aydin

Pages : 226-239

Doi:10.33434/cams.1372245

View : 33 | Download : 58

Publication Date : 2023-12-25

Article Type : Research Paper

Abstract :To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by Azak in 2021. Therefore, we only examined bihyperbolic Jacobsthal-Lucas and Pell-Lucas numbers. We also gave properties of bihyperbolic Jacobstal-Lucas and bihyperbolic Pell-Lucas numbers such as recursion relation, derivation function, Binet formula, D\'Ocagne identity, Cassini identity and Catalan identity.
Keywords : Bihyperbolic number, Bihyperbolic Jacobsthal Lucas number, Bihyperbolic Pell Lucas number, Jacobsthal Lucas number, Lucas number, Pell Lucas number

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