## Things to keep in mind

In Uncategorized on April 27, 2011 by nessgrh

This is going to be a list of random things I should keep in mind while working on the GSoC project. I’ll keep updating it.

• $G$ function has a (logarithmic) branch point at the origin
• Gamma function estimates (a la stirling) use a branch cut along the negative reals, e.g. here: $\Gamma(z+a) = e^{-z} z^{z+a-\frac{1}{2}} (2 \pi)^{\frac{1}{2}} \left(1+O\left(\frac{1}{z}\right)\right)$, for $|\arg(z+a)| \le \pi - \epsilon$ where the implicit constant in $O\left(\frac{1}{z}\right)$ depends on $a$ and $\epsilon$.