Explicit formulas related to Euler's product expansion for cosine function
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909272599691264 |
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| author | Kim, Taekyun Kim, Dae San |
| author_facet | Kim, Taekyun Kim, Dae San |
| contents | In this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tanx, several expressions for log coshx and an identity for π2, from a series expansion of tan x, which gives the product expansion of the cosine function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19885 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit formulas related to Euler's product expansion for cosine function Kim, Taekyun Kim, Dae San Number Theory 11A55, 11B68 In this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tanx, several expressions for log coshx and an identity for π2, from a series expansion of tan x, which gives the product expansion of the cosine function. |
| title | Explicit formulas related to Euler's product expansion for cosine function |
| topic | Number Theory 11A55, 11B68 |
| url | https://arxiv.org/abs/2407.19885 |