User:Tohline/Math/EQ Toroidal07
Jump to navigation
Jump to search
|
|
<math>~P_\nu^{\mu + 1}(z)</math> |
<math>~=</math> |
<math>~ (z^2-1)^{-\frac{1}{2}} \{ (\nu - \mu) z P^\mu_\nu(z) - (\nu + \mu)P^\mu_{\nu - 1}(z)\} </math> |
|
Abramowitz & Stegun (1995), p. 333, eq. (8.5.1) |
|||
|
NOTE: <math>~Q_\nu^\mu</math>, as well as <math>~P_\nu^\mu</math>, satisfies this same recurrence relation. |