Difference between revisions of "Chi"
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Revision as of 06:11, 31 October 2014
The hyperbolic cosine integral $\mathrm{chi} \colon (0,\infty) \rightarrow \mathbb{R}$ is defined by the formula $$\mathrm{chi}(z)=\gamma + \log(z) + \displaystyle\int_0^z \dfrac{\mathrm{cosh}(t)-1}{t} dt,$$ where $\gamma$ denotes the Euler-Mascheroni constant, $\log$ denotes the logarithm, and $\mathrm{cosh}$ denotes the hyperbolic cosine function.
- Coshintegral.png
Graph of $\mathrm{chi}$ on $(0,5]$.
