Notes on Number Theory and Discrete Mathematics · 2022 · 19 citations · 8 references
Natural SciencesMathematicsAlgebraCombinatoricsNumber TheoryAbstract AlgebraArithmetic FunctionsArithmetic GeometryCombinatorial Number TheoryComplex NumbersGenerating FunctionsExplicit Formulae
In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.
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Complex Fibonacci Numbers and Fibonacci Quaternions
A. F. Horadam · American Mathematical Monthly · 1963 · 373 citations
A note on h ( x ) − Fibonacci quaternion polynomials
Paula Catarino · Chaos Solitons & Fractals · 2015 · 41 citations · Full text
Yasemin Alp, E. Gökçen Koçer · Chaos Solitons & Fractals · 2021 · 39 citations