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.
Junghyun Hong, Jongmin Lee, Ho Park
Gochon Middle School; Hansu Middle School; Dongguk University
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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