We have now almost proved the theorem, for we have the expansion
\eqref{e37.10.11.16} for $z\in A'$ and we have formulae for the
coefficients.  Note that in fact the coefficients given in
\eqref{e38.10.11.16} agree with the formula \eqref{e33.10.11.16} by Cauchy's
Theorem.

We have now almost proved the theorem, for we have the expansion
  for <math>z\in A'</math> and we have formulae for the
coefficients.  Note that in fact the coefficients given in
  agree with the formula   by Cauchy's
Theorem.