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Godase, A. D.

Properties of \(k\)-Fibonacci and \(k\)-Lucas octonions. (English) Zbl 1448.11034

Indian J. Pure Appl. Math. 50, No. 4, 979-998 (2019).
Summary: We investigate some binomial and congruence properties for the \(k\)-Fibonacci and \(k\)-Lucas hyperbolic octonions. In addition, we present several well-known identities such as Catalan’s, Cassini’s and d’Ocagne’s identities for \(k\)-Fibonacci and \(k\)-Lucas hyperbolic octonions.

Cited in 1 Document

MSC:

11B39 Fibonacci and Lucas numbers and polynomials and generalizations

Keywords:

Fibonacci sequence; \(k\)-Fibonacci sequence; \(k\)-Lucas sequence
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\textit{A. D. Godase}, Indian J. Pure Appl. Math. 50, No. 4, 979--998 (2019; Zbl 1448.11034)
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