Difference between revisions of "User:Tohline/Math/EQ Toroidal04"
Jump to navigation
Jump to search
| Line 3: | Line 3: | ||
<tr> | <tr> | ||
<td align="right"> | <td align="right"> | ||
[[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates# | [[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates#Relationships_Between_Various_Associated_Legendre_Functions]] | ||
</td> | </td> | ||
<td align="right"> | <td align="right"> | ||
Latest revision as of 21:39, 1 July 2018
|
|
<math>~(\nu - \mu + 1)P^\mu_{\nu + 1} (z)</math> |
<math>~=</math> |
<math>~ (2\nu + 1)z P_\nu^\mu(z) - (\nu + \mu)P^\mu_{\nu-1}(z) </math> |
|
Abramowitz & Stegun (1995), p. 334, eq. (8.5.3) |
|||
|
NOTE: <math>~Q_\nu^\mu</math>, as well as <math>~P_\nu^\mu</math>, satisfies this same recurrence relation. |