Equation 9.2.3A61080C94D0B

\begin{equation} \begin{aligned} q(z',w)& =\frac1{2\pi \mathrm i}\int _{|\zeta |=s} \frac{f(z',\zeta )}{P(z',\zeta )(\zeta -w)}\, \mathrm d\zeta ,\\ R(z',w)& =\frac1{2\pi \mathrm i}\int _{|\zeta |=s} \frac{f(z',\zeta )}{P(z',\zeta )}\, \frac{P(z',\zeta )-P(z',w)}{\zeta -w}\, \mathrm d\zeta . \end{aligned} \end{equation}