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Polylogarithm #6

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MartinMikkelsen opened this issue Oct 5, 2023 · 2 comments
Closed

Polylogarithm #6

MartinMikkelsen opened this issue Oct 5, 2023 · 2 comments
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enhancement New feature or request good first issue Good for newcomers

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@MartinMikkelsen
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MartinMikkelsen commented Oct 5, 2023 •
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Implement the polylogarithm (maybe just the dilogarithm at first). Perhaps using the following integral representation

$$\text{Li}_s(z)= \frac{z}{\Gamma(s)} \int_0^1 \frac{|\log(y)^{s-1}|}{1-yz} \, \text{d}y$$

Consider branch at $z=1$.

Numerical implementation
Polylogarithm
@MartinMikkelsen MartinMikkelsen added enhancement New feature or request good first issue Good for newcomers labels Oct 5, 2023
@longemen3000
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for polylogarithms, there is https://github.com/Expander/PolyLog.jl

@MartinMikkelsen
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Ahh thanks @longemen3000, didn't know about that one

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@longemen3000 @MartinMikkelsen