Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers

Yulei Chen; Yingming Zhu; Dongwei Guo

doi:10.3934/math.2024455

AIMS Mathematics (Mar 2024)

Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers

Yulei Chen,
Yingming Zhu,
Dongwei Guo

Affiliations

Yulei Chen: 1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), China
Yingming Zhu: 2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing (Jiangsu), China
Dongwei Guo: 2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing (Jiangsu), China

DOI: https://doi.org/10.3934/math.2024455
Journal volume & issue: Vol. 9, no. 4
pp. 9348 – 9363

Abstract

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In this work, by means of the generating function method and the De Moivre's formula, we derive some interesting combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers. One of them confirms the formula proposed recently by Svinin (2022).

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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