Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers

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).

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Veröffentlicht in:AIMS mathematics 2024-01, Vol.9 (4), p.9348-9363
Hauptverfasser: Chen, Yulei, Zhu, Yingming, Guo, Dongwei
Format: Artikel
Sprache:eng
Schlagworte:
binomial coefficients
fibonacci numbers
lucas numbers
trigonometric functions
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Beschreibung
Zusammenfassung: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).
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024455