Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers

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).

Bibliographic Details
Main Authors: Yulei Chen, Yingming Zhu, Dongwei Guo
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024455?viewType=HTML