Communications of the
Korean Mathematical Society CKMS

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Commun. Korean Math. Soc. 2023; 38(1): 89-96

Online first article September 20, 2022      Printed January 31, 2023

https://doi.org/10.4134/CKMS.c220015

Copyright © The Korean Mathematical Society.

Generalizing some Fibonacci--Lucas relations

Junghyun Hong, Jongmin Lee, Ho Park

Gochon Middle School; Hansu Middle School; Dongguk University

Abstract

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Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin--Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.

Keywords: Fibonacci numbers, Lucas numbers

MSC numbers: 11B39

Supported by: H. Park was supported by the National Research Foundation of Korea (NRF-2019R1C1C1010211). This research was partially supported by KAIST (Global Institute For Talented Education) and Dongguk University Science Education Institute for the Gifted, Korea Foundation for the Advancement of Science and Creativity financed by the Ministry of Science and ICT and the Ministry of Economy and Finance.

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