On complex Leonardo numbers Article Swipe

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Fibonacci number Lucas number Generating function Mathematics Fibonacci polynomials Function (biology) Lucas sequence Combinatorics Discrete mathematics Arithmetic Evolutionary biology Biology Orthogonal polynomials Difference polynomials

Adnan Karataş ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.7546/nntdm.2022.28.3.458-465 · OA: W4288515263

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.