Explicit formulas related to Euler's product expansion for cosine function
Number Theory
2024-07-30 v1
Abstract
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 {\pi}2, from a series expansion of tan x, which gives the product expansion of the cosine function.
Cite
@article{arxiv.2407.19885,
title = {Explicit formulas related to Euler's product expansion for cosine function},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2407.19885},
year = {2024}
}
Comments
13 pages