Some identities of the generalized Fibonacci and Lucas sequences

Jizhen Yang and Zhizheng Zhang

Applied Mathematics and Computation, 2018, vol. 339, issue C, 451-458

Abstract: The purpose of this paper is to study generalized Fibonacci and Lucas sequences. We first introduce generalized Lucas sequences. Section 2 contains a list of elementary relationships about generalized Fibonacci and Lucas sequences. In Section 3, we give a generalization of the Binet’s formulas of generalized Fibonacci, Lucas sequences and its applications. Section 4 is devote to derive many identities and congruence relations for generalized Fibonacci, Lucas sequences by using operator method.

Keywords: Generalized Fibonacci sequence; Generalized Lucas sequence; Identity; Congruence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:451-458

DOI: 10.1016/j.amc.2018.07.054

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