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Gaussian Fibonacci and Lucas numbers. (English) Zbl 0129.02405
From the text: Recently, A. F. Horadam [Am. Math. Mon. 70, 289–291 (1963; Zbl 0122.29402)] introduced the concept of the complex Fibonacci numbers and established some quite general identities concerning them. It is the purpose of this paper to consider merely two of the complex Fibonacci sequences and extend some relationships which are known about the common Fibonacci sequences to the complex Fibonaccies.

MSC:
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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