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.

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