Arctangent Identities Involving the Jacobsthal and Jacobsthal-Lucas Numbers | ||
| Electronic Journal of Mathematical Analysis and Applications | ||
| Article 12, Volume 13, Issue 2, 2025, Pages 1-10 PDF (542.27 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/ejmaa.2025.364484.1328 | ||
| Author | ||
| Orhan Dişkaya* | ||
| Mersin University | ||
| Abstract | ||
| In this study, we examine the relationship between Jacobsthal Lucas numbers and trigonometry. The influence of trigonometric functions on special numbers reveals deep connections between number theory and analysis. In particular, the links between the general term of the Jacobsthal Lucas sequence and arctangent functions are explored, highlighting the periodic nature and modular properties of these numbers. The findings not only explain the behavior of this specific sequence but also contribute to a broader understanding of the interplay between trigonometry and number theory. Additionally, the study discusses how Jacobsthal Lucas numbers relate to other well known numerical sequences and mathematical constants, further strengthening the connections between different mathematical structures. These results have significant implications for both theoretical mathematics and applied fields, providing insights that can enhance the study of special sequences and their applications in various domains. . . . . . . . . . . . . . | ||
| Keywords | ||
| Fibonacci numbers; Jacobsthal numbers; arctangent | ||
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