Biology Reference
In-Depth Information
235
If the contour is a unit circle around the origin of the complex plane, then
according to the Cauchy integral theorem we have:
for integer n equal to or greater than 0. For n = -1, we substitute z with
so that
Then,
where is any starting angle for integration. For n = -2, the same change
of variable gives:
The same holds for n = -3, -4, -5, etc. These results are used in Chapter 8
to calculate the integral representation of the Bessel functions.
