Difference between revisions of "User:Tohline/Math/EQ Toroidal01"
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#Special_Function_Relatioinships]] | ||
</td> | </td> | ||
<td align="right"> | <td align="right"> | ||
Revision as of 04:07, 13 June 2018
|
|
<math>~ Q_\nu[t t^' - (t^2-1)^{1 / 2} (t^{'2} - 1)^{1 / 2} \cos\psi] </math> |
<math>~=</math> |
<math>~ Q_\nu(t) P_\nu(t^') + 2\sum_{n=1}^\infty (-1)^n Q^n_\nu(t) P^{-n}_\nu(t^') \cos(n\psi) \, . </math> |
|
A. Erdélyi (1953): Volume I, §3.11, p. 169, eq. (4) |
|||
| Valid for: |
<math>~t, t^'</math> real |
|
<math>~1 < t^' < t</math> |
|
<math>~\nu \ne -1, -2, -3, </math> … |
|
<math>~\psi</math> real. |