A Note On Bicomplex Fibonacci and Lucas Numbers

Published 17 Aug 2015 in math.NT | (1508.03972v1)

Abstract: 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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