## The Logarithm of the Gamma Function over the Complex Plane with a Smooth Principal Value

As an approximation of course (where applicable) done with the Stirling series but that information would have made the header a wee bit too long.

The problem with the Stirling series is that the number of summands depend on the input; there is an ideal number of summands for a given precision. But don’t worry, D.E.G. Hare did all the math for us. Continue reading