Template:Math/EQ Toroidal07

	$P_{\nu }^{\mu +1}(z)$	$=$	$(z^2-1{)}^{-\frac{1}{2}}\{(\nu -\mu )z{P}_{\nu }^{\mu }(z)-(\nu +\mu )P_{\nu -1}^{\mu }(z)\}$
Abramowitz & Stegun (1995), p. 333, eq. (8.5.1)

NOTE: $Q_{\nu }^{\mu }$, as well as $P_{\nu }^{\mu }$, satisfies this same recurrence relation.