Template:Math/EQ Toroidal08

	$Q_{-\frac{1}{2}}^{\mu }(z)+2\sum _{n=1}^{\mathrm{\infty }}{Q}_{n-\frac{1}{2}}^{\mu }(z)\cos (n\nu )$	$=$	$e^{i\mu \pi }(\frac{\pi }{2}{)}^{1/2}\mathrm{\Gamma }(\mu +\frac{1}{2})[\frac{(z^2-1{)}^{\mu /2}}{(z-\cos \nu {)}^{\mu +\frac{1}{2}}}]$
A. Erdélyi (1953):  Volume I, §3.10, p. 166, eq. (3)

Valid for:

$\mathrm{R}\mathrm{e}\mu >-\frac{1}{2}$