On extended \(k\)-order Fibonacci and Lucas numbers via \(\mathcal{DGC}\) numbers (Q6610531)

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scientific article; zbMATH DE number 7918578
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On extended \(k\)-order Fibonacci and Lucas numbers via \(\mathcal{DGC}\) numbers
scientific article; zbMATH DE number 7918578

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    On extended \(k\)-order Fibonacci and Lucas numbers via \(\mathcal{DGC}\) numbers (English)
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    25 September 2024
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    The chapter under review unifies the study of several generalized number sequences as mentioned in the title via dual generalized complex (DGC) numbers. This unified approach further enables one to have dual complex, hyper dual, and dual hyperbolic extensions of these sequences.\N\NFor the entire collection see [Zbl 1539.11005].
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    dual generalized complex (DGC) numbers
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    Fibonacci sequence
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    Lucas sequence
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