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Split complex bi-periodic Fibonacci and Lucas numbers. (English) Zbl 1491.11026

Summary: The initial idea of this paper is to investigate the split complex bi-periodic Fibonacci and Lucas numbers by using SCFLN now on. We try to show some properties of SCFLN by taking into account the properties of the split complex numbers. Then, we present interesting relationships between SCFLN.

MSC:

11B39 Fibonacci and Lucas numbers and polynomials and generalizations
17A45 Quadratic algebras (but not quadratic Jordan algebras)
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