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Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.

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Simplifying finite sum over 1/(ax+b)

Can I simplify: \begin{equation} \sum_{x=x_0}^{x_1} \frac{1}{ax+b} \end{equation}
Alex Flint's user avatar
1 vote

Simplifying finite sum over 1/(ax+b)

Using some Taylor approximations it turns out there's a fast approximation here. Code below. float fastdigamma (float x) { float twopx = 2.f + x; return - (1.f + 2.f * x) / (x * (1.f + x)) …
Alex Flint's user avatar