An expansion of the basic definition 3 is sought for
small values of , which correspond to large values of .
Once again this is achieved by integrating by parts and deriving a
recurrence relation. However, before doing this a change of variable
in equation 3 is required to get it into a more useful form.
Setting
and combining equations 3 and
5 gives:
Now, consider the integral:
Combining equations 22 and 23 gives:
(25) |
Substituting , gives:
(26) |
By combining equations 20 and 21
to give
(30) |