. This we contrive via the function
alpha
defined by:
where
This allows one to rewrite Legendre's equation (5.3) in a one-sided form without
the conjugate variable as
We have suppressed, and will continue to suppress, the k variable. With (5.6)
and (5.7) at hand we can write a q-expansion for 
, namely,
and we can see that as r tends to infinity 
tends to zero and
tends to 
. In fact
The key now is iteratively to calculate 
. This is the content of the next
theorem.
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