Schläfli contour integral for Legendre polynomials
= Schläfli contour integral for Legendre polynomials
{c}
For a contour enclosing $t$,
$$
P_n(t)=\frac1{2^{n+1}\pi i}
\oint\frac{(z^2-1)^n}{(z-t)^{n+1}}\,dz.
$$
= Schläfli contour integral for Legendre polynomials
{c}
For a contour enclosing $t$,
$$
P_n(t)=\frac1{2^{n+1}\pi i}
\oint\frac{(z^2-1)^n}{(z-t)^{n+1}}\,dz.
$$