Difference between revisions of "User:Tohline/Math/EQ Toroidal00"

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(Created page with '<table border="0" cellpadding="5" align="center"> <tr> <td align="right"> [[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templat…')
 
 
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   <td align="right">
   <td align="right">
<math>~
<math>~
P_\nu^m(z)
P_\nu^n(z)
</math>
</math>
   </td>
   </td>
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   <td align="left">
   <td align="left">
<math>~
<math>~
\frac{\Gamma(\nu + m + 1)}{\Gamma(\nu - m + 1)} P_\nu^{-m}(z)  
\frac{\Gamma(\nu + n + 1)}{\Gamma(\nu - n + 1)} P_\nu^{-n}(z)  
</math>
</math>
   </td>
   </td>

Latest revision as of 18:36, 17 June 2018

LSU Key.png

<math>~ P_\nu^n(z) </math>

<math>~=</math>

<math>~ \frac{\Gamma(\nu + n + 1)}{\Gamma(\nu - n + 1)} P_\nu^{-n}(z) </math>

A. Erdélyi (1953):  Volume I, §3.3.1, p. 140, eq. (7)