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).
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024455?viewType=HTML |
| _version_ | 1797257672999829504 |
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| author | Yulei Chen Yingming Zhu Dongwei Guo |
| author_facet | Yulei Chen Yingming Zhu Dongwei Guo |
| author_sort | Yulei Chen |
| collection | DOAJ |
| description | 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). |
| first_indexed | 2024-04-24T22:41:22Z |
| format | Article |
| id | doaj.art-49c46676b3384f909496787be044c712 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T22:41:22Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-49c46676b3384f909496787be044c7122024-03-19T01:30:35ZengAIMS PressAIMS Mathematics2473-69882024-03-01949348936310.3934/math.2024455Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbersYulei Chen0Yingming Zhu1Dongwei Guo21. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), China2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing (Jiangsu), China2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing (Jiangsu), ChinaIn 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).https://www.aimspress.com/article/doi/10.3934/math.2024455?viewType=HTMLfibonacci numberslucas numbersbinomial coefficientstrigonometric functions |
| spellingShingle | Yulei Chen Yingming Zhu Dongwei Guo Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers AIMS Mathematics fibonacci numbers lucas numbers binomial coefficients trigonometric functions |
| title | Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers |
| title_full | Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers |
| title_fullStr | Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers |
| title_full_unstemmed | Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers |
| title_short | Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers |
| title_sort | combinatorial identities concerning trigonometric functions and fibonacci lucas numbers |
| topic | fibonacci numbers lucas numbers binomial coefficients trigonometric functions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024455?viewType=HTML |
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