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arxiv: 1508.03972 · v1 · pith:6VIAFTT4new · submitted 2015-08-17 · 🧮 math.NT

A Note On Bicomplex Fibonacci and Lucas Numbers

classification 🧮 math.NT
keywords fibonaccilucasbicomplexnumbersbersbinetcalledcassini
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In this study, we define a new type of Fibonacci and Lucas num- bers which are called bicomplex Fibonacci and bicomplex Lucas numbers. We obtain the well-known properties e.g. Docagnes, Cassini, Catalan for these new types. We also give the identities of negabicomplex Fibonacci and negabi- complex Lucas numbers, Binet formulas and relations of them.

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