Difference between revisions of "User:Tohline/Math/EQ Toroidal02"
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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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[[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]] | ||
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<math>~(-1)^n | <math>~(-1)^n | ||
\frac{\pi^{3/2}}{\sqrt{2} \Gamma(n-m+1 / 2)} (x^2-1)^{1 / 4} P_{m-1 / 2}^n(x) \, , | \frac{\pi^{3/2}}{\sqrt{2}~ \Gamma(n-m+1 / 2)} (x^2-1)^{1 / 4} P_{m-1 / 2}^n(x) \, , | ||
</math> | </math> | ||
</td> | </td> | ||
Latest revision as of 21:38, 1 July 2018
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<math>~Q_{n-1 / 2}^m (\lambda)</math> |
<math>~=</math> |
<math>~(-1)^n \frac{\pi^{3/2}}{\sqrt{2}~ \Gamma(n-m+1 / 2)} (x^2-1)^{1 / 4} P_{m-1 / 2}^n(x) \, , </math> |
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Gil, Segura, & Temme (2000): eq. (8) |
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| where: |
<math>~\lambda \equiv x/\sqrt{x^2-1}</math> |