Difference between revisions of "User:Tohline/Math/EQ Toroidal02"

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[[Image:LSU_Key.png|25px|link=http://www.vistrails.org/index.php/User:Tohline/Appendix/Equation_templates#Special_Function_Relationships]]
[[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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Latest revision as of 21:38, 1 July 2018

LSU Key.png

<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>

Gil, Segura, & Temme (2000):  eq. (8)

where:    

<math>~\lambda \equiv x/\sqrt{x^2-1}</math>