In textbook Mathews&Walkers problem 7.6 Starting from \begin{equation*} Q_n(z)=\frac{1}{2} P_n(z)\ln\left( \frac{z+1}{z-1}\right)+f_{n-1}(z) \end{equation*} we can derive Neumann's Formula \begin{equation*} Q_n(x) = {1\over 2} \int_{-1}^{1}{P_n(t) \over z-t}\, dt \end{equation*} Can anyone give more specific hints or detailed direction to solve this problem?


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