Chi

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The hyperbolic cosine integral $\mathrm{Chi}$ is defined for $|\mathrm{arg}(z)| < \pi$ the formula $$\mathrm{Chi}(z)=\gamma + \log(z) + \displaystyle\int_0^z \dfrac{\cosh(t)-1}{t} \mathrm{d}t,$$ where $\gamma$ denotes the Euler-Mascheroni constant, $\log$ denotes the logarithm, and $\cosh$ denotes the hyperbolic cosine.

Properties[edit]

Derivative of chi
Antiderivative of chi

$\ast$-integral functions