k-Fibonacci and k-Lucas Hybrid Numbers

Esra Erkan,Ali Dağdeviren

Keywords: Binet Formula, Generating functions, Hybrid numbers, Fibonacci numbers, Lucas numbers.

Abstract: In this paper, we firstly introduce k-Fibonacci and k-Lucas hybrid numbers and then give some of their algebraic properties. Additionally, we investigate the Binet formulas, the generating functions, Catalan's, Cassini's and d'Ocagne's identities on these hybrid numbers.

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