Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers

被引：1
|
作者：
Chen, Yulei [1 ]
Zhu, Yingming [2 ]
Guo, Dongwei [2 ]
机构：
[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou, Henan, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Econ & Management, Nanjing, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 04期
关键词：
Fibonacci numbers; Lucas numbers; binomial coefficients; trigonometric functions;
D O I：
10.3934/math.2024455
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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).
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页码：9348 / 9363
页数：16
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