MMN-2935

On the generalized bi-periodic Fibonacci and Lucas quaternions

Younseok Choo;

Abstract

In this paper we introduce the generalized bi-periodic Fibonacci and Lucas quaternions which are the further generalizations of the bi-periodic Fibonacci and Lucas quaternions considered in the literature. For those quaternions, we derive the generating functions, Binet's formulas and Catalan's identities.


Vol. 20 (2019), No. 2, pp. 807-821
DOI: https://doi.org/10.18514/MMN.2019.2935


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